Mathematics High School

Find the inverse of the following

F(x) = 1/2x-1

Answers

Answer 1
Step 1: Set it to be “y=“
y=1/2 x - 1

Step 2: Swap x and y:
x = 1/2 y - 1

Step 3: solve for y by adding 1 and then multiplying by 2:
x + 1 = 1/2 y
2(x+1) = y
2x+2 = y

Step 4: flip it so it’s y= and then put in inverse function notation:
y = 2x + 2

f^-1 (x) = 2x+2

It’s always this same process. The only difference is step 3, on how you might solve your specific equation for y.

Related Questions

Find the domain of f(x)= x^2+4

Answers

Answer:

(Negative Infinity to Positive Infinity)

Step-by-step explanation:

A domain is all x values that can go into a function. This is a quadratic. A quadratic can accept any real number so the domain is

[tex]all \: real \: numbers[/tex]

or

(Negative Infinity to Positive Infinity)

6. A cube has a volume of 5 feet?. What is the volume of the cube in in?

Answers

The answer is 60 inches.

Divide by rationalizing the denominator.
3+5i/10+3i


A. 25+47i/109
B. 60-18i/109
C. 100-30i/109
D. 45+41i/109

Answers

Answer:

D

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate of the denominator.

Note that i² = - 1

The conjugate of 10 + 3i is 10 - 3i , then

[tex]\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}[/tex] ← Expand numerator/denominator using FOIL

= [tex]\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}[/tex] ← simplify

= [tex]\frac{30+41i+15}{100+9}[/tex]

= [tex]\frac{45+41i}{109}[/tex] → D

Simplify 14^15/ 14^5
A 1^3
B 1^10
C 14^3
D 14^10

Answers

D is the correct answer
Hope this help

factor of -2800 and -2

Answers

Answer:

isn't it just -2 it's the greatest common factor (GCF) of -2800 and -2

Step-by-step explanation:

find three consecutive even integers for which -4 times the sum of the first and third is 192

Answers

Answer:

-26-24-22

Step-by-step explanation:

Let x be the smallest number (first)

Let (x + 2) be the second number (second)

Let (x + 4) be the greatest number (third)

Set equation according to the given information

-4 [x + (x + 4)] = 192

Simplify parentheses

-4 [x + x + 4] = 192

-4 [2x + 4] = 192

Expand bracket and apply the distributive property

(-4) · 2x + (-4) · 4 = 192

-8x - 16 = 192

Add 16 on both sides

-8x - 16 + 16 = 192 + 16

-8x = 208

Divide -8 on both sides

-8x / -8 = 208 / (-8)

[tex]\boxed{x=-26}[/tex]

Find the value of the second term

x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]

Find the value of the third term

x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!!!!!

For the function h defined by h(x)=2x^2 − 2, find h(0).

Answers

Answer:

h(0) = - 2

Step-by-step explanation:

Substitute x = 0 into h(x) and evaluate , that is

h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=-3

Step-by-step explanation:

-4(-2x+5)-5x+5=-24

8x-20-5x+5=-24

3x-15=-24

3x=-9

x=-3

I hope that this helped you!

(b) calculate the area of a triangle 7.8 cm 12.8 cm​

Answers

Answer:

49.92 cm²

Step-by-step explanation:

Area of a triangle = base × height ÷ 2

7.8 × 12.8 ÷ 2 = 49.92

24/4 ÷ 10
please answer quickly ​

Answers

Answer:

0.48

Step-by-step explanation:

25/4 ÷ 10=0.48

Brainiest plz and hope it helped

who is square
root 3​

Answers

Answer:

Square root of 3 = 1.7321

Answer:

1.73

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Someone plz help giving brainliest

Answers

Answer:

Its C.

Step-by-step explanation:

I had this and its C. trust me

Tell the slope of a line that contains the points (5, − 3) and (7, 3).

Answers

Answer:

3

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

     = ( 3 - -3)/( 7-5)

     = (3+3)/(7-5)

     = 6/2

      = 3

Answer:

[tex]m = 3[/tex]

Step-by-step explanation:

[tex]slope \: = m = \frac{y1 - y2}{x1 - x2} \\ = \frac{ - 3 - 3}{5 - 7} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]

Simplify each expression

Answers

Answer:

[tex]3. \: \: ( \frac{7}{8} ) ^{2} = \frac{ {7}^{2} }{ {8}^{2} } = \frac{49}{64} = 0.765 [/tex]

[tex]5. \: \: 8 + 5(7) = 8 + 35 = 43[/tex]

I hope I helped you^_^

please help with geometry

Answers

Step-by-step explanation:

a) gradient= y2-y1/x2-x1

gradient of AB:

gradient=-4-1/2-3

=-5/-1

=5

gradient of BC:

=-5+4/7-2

=-1/5

b) as the priduct of both gradient is -1 ,both lines are perpendicular.

c) as we have seen lines are perpendicular so it is a right angled triangle.

help please asap its timed​

Answers

Answer:

In a representation of 100, the percent change is just a number change, meaning 65 - 52, or 13 is that change. This means that the percent change from 65 to 52 is 13%  

Step-by-step explanation:

Determine the measure of the interior angle at vertex E.

Answers

Answer:

30

Step-by-step explanation:

5 sides Pentagon=540

3x+4x+4x+4x+3x=540

18x=540

x=540/18

x=30

Find the area of the circle.
Use 3.14 for it.
d = 8 cm
A = [?] cm2
A= 7Tr2

Answers

Answer:

50.24 cm^2.

Step-by-step explanation:

If d = 8 then r = 4 cm.

Area = 3.14 * r^2

= 3.14 * 4^2

= 50.24 cm^2.

Please help me out with part 3 i need this asap

Answers

Answer:

1) g(x) = 7

2) (-∞,∞)

3) 7

Step-by-step explanation:

I can’t understand the question

What is polynomial? ​

Answers

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Answer:

Consisting of several terms

Step-by-step explanation:

An expression of more than two algebric terms

A bag contains 7 red marbles, 8 blue marbles, and 9 green marbles. What is the
probability of choosing a blue marble when one marble is drawn?

Answers

Answer:

The probability of choosing a blue marble is 1/3.

Step-by-step explanation:

Add up all of the marbles.

7+8+9=24.

Next, you get the fraction of the chosen marble type over all marbles. In this case, it's blue, so it's 8/24

Finally, you must simplify the fraction.

1/3 is the simplest form of 8/24.

I was thrown into this without any help​

Answers

Answer: MKN and JKL

Collinear points are three or more points that lie on the same line.
The answer is MKN & JKL

please help me out thank you so much whoever does !!

Answers

Millimeters per minute, since snails are slow moving species.

Transformation is when a shape has been copied, which means that the shape has the same size, area, angles and side lengths. What does it mean when the shape has rotated

Answers

Answer:

I think it is called a rotation or reflection.

Step-by-step explanation:

which of the following is a counterexample of this statement?
If an angle is acute, then it measures 80°.
A. a 100° angle
B. a 90° angle
C. a 80° angle
D. a 70° angle

Answers

Answer:

a 70° angle

Step-by-step explanation:

an acute angle measure between 0° and 90° so a counterexample for the statement is the 70° angle which is also an acute angle that doesn't measure 80°

brainliest is appreciated

Find the distance between each pair of points (-4,6) and (3,-7)

Answers

Answer:

Here is your answer . Hope this helps you.

Answer:

[tex]\boxed {\boxed {\sf \sqrt{218} \ or \ 14.76}}[/tex]

Step-by-step explanation:

The formula for calculating the distance between 2 points is:

[tex]d= \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. The 2 points we are given are (-4, 6) and (3, -7). If we match the value with the corresponding variable we see that:

x₁ = -4 y₁ = 6 x₂ = 3 y₂ = -7

Substitute the values into the formula.

[tex]d= \sqrt{(3 - -4)^2 + (-7-6)^2[/tex]

Solve inside the parentheses.

(3--4) = (3+4) = 7 (-7-6) = -13

[tex]d=\sqrt {(7)^2 + (-13)^2[/tex]

Solve the exponents.

(7)²= 7*7 = 49 (-13)² = -13 * -13 = 169

[tex]d= \sqrt{ (49)+(169)[/tex]

Add.

[tex]d= \sqrt{218}[/tex]

[tex]d=14.76482306[/tex]

If we round to the nearest hundredth place, the 4 in the thousandth place tells us to leave the 6.

[tex]d \approx 14.76[/tex]

The distance between the points (-4, 6) and (3, -7) is √218 or approximately 14.76.

WEIGHTS AND MEASURES
One pint is about 5/9 liter. Write 5/9 liter as a decimal.

Answers

Answer:

.55555555 infinitely or .556

Step-by-step explanation:

5/9 liter is .555 as a decimal

3.3(n-8)-n=1.2

Simplify! ::)

Answers

Answer:

n=12

Step-by-step explanation:

3.3(n-8)-n=1.2

Distribute

3.3n -26.4 -n = 1.2

Combine like terms

2.3n -26.4 = 1.2

Add 26.4 to each side

2.3n -26.4+26.4 = 1.2 +26.4

2.3n = 27.6

Divide each side by 2.3

2.3n/2.3 = 27.6/2.3

n=12

the solution to the equation is n = 12. Let's simplify the given equation step by step: [tex]\(3.3(n - 8) - n = 1.2\)[/tex]

Step 1: Distribute the 3.3 to the terms inside the parentheses:

[tex]\(3.3n - 3.3 \times 8 - n = 1.2\)[/tex]

Step 2: Perform the multiplication:

[tex]\(3.3n - 26.4 - n = 1.2\)[/tex]

Step 3: Combine like terms:

[tex]\(3.3n - n = 1.2 + 26.4\)\\\(2.3n = 27.6\)[/tex]

Step 4: Isolate n by dividing both sides by 2.3:

[tex]\(n = \frac{27.6}{2.3}\)\\\(n = 12\)[/tex]

So, the solution to the equation is n = 12.

To know more about equation:

https://brainly.com/question/8651602

#SPJ3

A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.​

Answers

Answer:

Step-by-step explanation:

Let the greater part = x

Smaller part = 105 - x

2*(greater part) = (3*smaller part) - 15

2*x = 3*(105 -x) - 15

Use distributive property

2x = 3*105 - 3*x - 15    

2x = 315 - 3x - 15

2x =  300 - 3x

Add 3x to both sides

2x +3x = 300

5x = 300

Divide both sides by 5

x = 300/5

x =60

Smaller part = 105 - 60  = 45

Greater part = Rs. 60

Smaller part = Rs. 45


Mary, Misa and Mandy have a combined height of 4.84 m. Mary is 9 cm/0.009m
shorter than Misa. Misa is 0.05 m taller than Mandy. How tall, in metres, is
Mandy?

Answers

Answer:

Mandy is 1.613 m tall

Step-by-step explanation:

Let us consider

Mary is A, Misa is B and Mandy is C

According to question,

A + B + C = 4.84 m...... (i)

From qsn

9 cm/0.009 m

= 9 cm/ 0.9 cm

= 10 cm

= 0.1 m

Then, A is 0.1 m shorter than B

i.e. A= B - 0.1 m

Also, B is 0.05 m taller than C

i.e B = C + 0.05m

We have to find height of C ( Mandy)

From eqn (i)

C = 4.84 - B - A

or, C = 4.84 - (C + 0.05) - ( B - 0.1)

or, C = 4.84 - C - 0.05 - B + 0.1

or, 2C = 4.89 - B

or, 2C = 4.89 - ( C + 0.05)

or, 2C = 4.89 - C - 0.05

or, 3C = 4.84

or, C = 4.84/3

or, C = 1.613 m

Hello!

Let’s start by assigning variables to each of the girls’ heights.

Mary=x

Misa=y

Mandy=z

Now, we know that Misa is 0.05 m taller than Mandy. Therefore we can say y (Misa’s height)= z (Mandy’s height) +0.05

Y=z+0.05


We also know that Mary is 0.009m shorter than Misa. Therefore, she must be 0.041 m taller than Mandy. We know this because Misa is 0.05 m taller than Mandy, and Mary is 0.009 meters shorter than Misa (0.05-0.009)= 0.041 Based on our determined variables, we can write this as:

X=z+0.041

OR REWRITTEN TO SOLVE FOR Z

Z=x-0.041

Finally, we know that the heights of all three girls are equal to 4.84 meters:

X+y+z=4.84


Let’s solve! Plug the second equation, solved for z, into the first equation.

Y= (x-0.041) +0.05

Now, let’s plug that in for “y” and the second equation in for “z” in the final equation:

X+ ((x-0.041) +0.05)+ (x-0.041)= 4.84

Solve for X:

1.624

Plug that number in for “X” in the second equation to get Mandy’s height (z)

Z=x-0.041

Z= 1.624-0.041


Mandy’s height is 1.583 m

I know this is a little confusing, but I hope this helped! If you have any questions, feel free to comment and I can help clarify!
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