Mathematics High School

Given the definitions of f(x) and g(x) below, find the value of g(f(-3)).

Given The Definitions Of F(x) And G(x) Below, Find The Value Of G(f(-3)).

Answers

Answer 1

Answer:

-11

Step-by-step explanation:

f(x) = 5x + 11

g(x) = x^2 + 4x - 11

g(f(-3)) = ?

f(-3) = 5(-3) + 11

= -15 + 11 = -4

g(f(-3)) = g(-4) = -(4)^2 + 4(-4) - 11

= 16 - 16 - 11 = -11

Answer 2

A function assigns the value of each element of one set to the other specific element of another set. The value of g(f(-3)) is -11.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.


Given f(x)=5x+11 and g(x)=x²+4x-11, therefore, we can write the value of g(f(x)) as,

g(f(x)) = (5x + 11)² + 4(5x + 11) - 11

         = 25x² + 121 + 110x + 20x + 44 - 11

         = 25x² + 130x + 154

Now, substitute the value of x as -3 in the function g(f(x)), therefore, we can write,

g(f(-3)) = 25x² + 130x + 154

          = 25(3)² + 130(-3) + 154

          = 225 - 390 + 154

          = -11

Hence, the value of g(f(-3)) is -11.

Learn more about Function here:

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Related Questions

is 128 is a perfect cube​

Answers

no it is not a perfect cube
No it’s not

Because 128=27

A parking lot has 88 parking spaces. Of those, 4 are reserved for disability parking, 48 are for full-size cars, and the remaining spaces are for compact cars. What is the ratio of compact spaces to full-size spaces?

Answers

The total parking space is 88. 4 are reserved which leaves us with 84. 48 of the remaining cars are for full size cars with a remaining of 36 cars that are compact cars. The ratio of compact to full size is 36:48 to simplify it divide by 3 on bot sides. You get a ratio of 3:4

helppp!!

Identify the slope of the following equation:
-4x + 3y = 3

Answers

Answer:

the answer is -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4x+3y=3

-4x/3=3-3y/3

x=1.5

Therefore the slope in 1.5

Two times a number +1 is greater than five and less than seven

Answers

Answer:

6

Step-by-step explanation:

because you should know it is well maybe it should have a decimal

The answer is Six.

Explanation:
2 times a number +1 is greater than five but less than seven. That means the answer is in between 5 and 7. 5 !!6!! 7

What is the range of this function?
(16, -16)
(13, 16)
(8, 7)

Answers

Answer:

Domain: { 16, 13 , 8 }

Range: { −16, 16, 7 }

Step-by-step explanation:

The domain is the set of all the values of  x.

The range is the set of all the values of  y .

Please help me !! HELP ASAP! THANK U

Answers

Answer:

The answer is 1,028!

Step-by-step explanation:

Add them together. $699 + $329 = $1,028

Answer: $3084

Step-by-step explanation: The cost of ipad and iphone together costs 1028 and you mutiply that by 3 to get the amount for 3 people

Just tell me the coordinates

Answers

(-2, 4)
Hope this helps! If not I, truly sorry
(-2,4) should be the coordinates:)

Tia buys 7 packages of muffins. How many muffins does she buy?

A. 39

B. 40

C. 48

D. 56​

Answers

Answer:

Probably there are 56 muffins in total

Step-by-step explanation:

This is because based on the choices, the only number that 7 is a factor of is 56

That means there were 8 muffins in each package

Hope this helps!

15 points to help me graph this problem ( slope problem )

Answers

Answer:

When u said slope problom i thought u ment about the game  LOL

Step-by-step explanation:

The length of a baby python increases from 15 inches to 18 inches in one month. By what percentage did the length of the python increase? 120%; 83%; 20%; 3%

Answers

Answer:

20%

Step-by-step explanation:

20% of 15 is 3.

(To check 3 x 5 = 15. 20 x 5 = 1.00)

3 +15 = 18.

Answer:

20% is the answer

Step-by-step explanation:

18-15=3 inches

3/15=20%

so +20% to 15 =18 inches

Evaluate the expression:
3(a + b - 3) - 212a + b - 4) when a = 2 and b = 1

Answers

Answer:

417

Step-by-step explanation:

3(2+1-3)-212*2+1-4=?

3-212*2+1-4=?

3-423+1-4=?

420+1-4=?

421-4=?

417

A pair of parallel lines is cut by a transversal: A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. One part of this angle is labeled as x, and the other part is labeled as 30 degrees. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 75 degrees. What is the measure of angle x? (1 point)

Answers

Answer:

Step-by-step explanation:

Use the diagram in the attachment for reference. You can substitute the values given in question in place of the one in the diagram.

From the diagram, it can be seen that the sum of angle x and 20 is equal to angle 75 degrees i.e x+30 = 75 (alternate angles)

Next is to find the value of x from the equation

x+30 = 75

Subtract 30 from both sides of the equation;  

x+30-30 = 75-30

x = 75-30

x = 45

Hence the measure of angle x is 45°

Answer:

The answer is 45

Step-by-step explanation:

I got this on a test once and got it right

What is the probability of flipping at least 2 heads? As a Fraction

Answers

Answer:

81/100

Step-by-step explanation:

flipping a coin one, two, three or four times. 0.81 is the probability of getting 2 Heads in 5 tosses.

The expression sqrt 200 is equivalent to
A: 25 sqrt 8
B: 100 sqrt 2
C: 2 sqrt 10
D: 10 sqrt 2

Answers

You can break the 200 into sqrt 100*2. We can see the 100 has a perfect root, that’s 10. But the 2 does not. So take the 10 out and multiply it by the sqrt 2

Answer D

Answer: D

Step-by-step explanation: just took it

Solve for x

6^(x-2)=2(3^(3x+2))

Answers

Answer:

1. x = 3/2 = 1.500

2. x = ± √3 = ± 1.7321

Step-by-step explanation:

The vorrrect answer is 1.7

what is the base area of a pyramid with a volume of 72m^3 and a height of 12m solve for the base area

Answers

The area of a triangle can be found using the formula 1/2bh, where the variable b represents the value of the base and the variable h represents the value of the height.

7/4 as a whole number

Answers

1 1/4?? because 7/4 cant be a whole number its a mixed number when simplified

Answer:

[tex] \frac{7}{4} is \: not \: a \:w hole \: number \: \\ it \: is \: a \: mixed \: number \: \\ we \: can \: simplify \: it \: in \: to \: 2 \frac{1}{4} \\ thank \: you[/tex]

Help please ;^;^;^;^;^;^;^;^;^; ​

Answers

Answer:

10n+10=8n-10

n= -10

I hope this helps

3 1/8 +4 3/8 solve the question

Answers

Answer:

7 1/2

Step-by-step explanation:

Let's add the whole numbers first, 3 + 4 = 7

Then, we add the fraction, and since the denominator is the same, there's no need for a change, so we just add the top. 1/8 + 3/8 is 4/8, which can be simplified to 1/2

so answer is 7 1/2

7 1/2 ajanxnmxbxn mcbzmxnxkxncnxnxm

(-2) + 3 = ?
Your answer

Answers

Answer:

(-2)+3=1

negative two plus three =one

Which expression is equivalent to ac + bd? *
ac x bd
ca + db
ab + cd
(ac)^2

Answers

Answer:

the aswer is ca+ db

Step-by-step explanation:

Hope this helps leave a heart c:

Answer:

ab+cd

Step-by-step explanation:

1. What is the area of the shape?
6cm
4cm
2cm
3cm

Answers

Hello,
I’m not sure how to answer your question because looks like you forgot to put an image of the shape your talking about.

In Akutan, Alaska, men are 77% of the population. It is also known 11.3% of

Akutan males smoke cigars while 2.1% of Akutan females smoke cigars. One

member of the population is selected at random for a survey involving cell

phone carriers.


Find the probability that the selected subject is not male.

Answers

Answer: 0.23

Step-by-step explanation:

Given that:

Percentage population of males = 77% = 0.77

Hence,

Percentage that aren't male = ( 1 - 0.77) = 0.23

P(males) = 0.77

Hence,

P(non-males) = 1 - 0.77 = 0.23

K(x)=-2|3x+1|-3 ; find k(-3). Please help

Answers

-2|3(-3)+1| -3= -2|-8|-3= -16-3=-19

What is the answer to 49/4018

Answers

Answer:

1/82

Step-by-step explanation

Divide both the numerator and denominator by 49 to get the simplified version.

[tex]\frac{49}{4018}\frac{/49 }{/49} \frac{1}{82}[/tex]

Hope this helps!

could you guys simply these!! I need help asap! :)

Answers

Answer:

Step-by-step explanation:

1. 7x+7

2. 2y+5

Not sure about 3 or 4

5. 11x

6.5x+7

7.10x-9y

8. 5x+5y

Not sure about 9

10. 4x+4

Answer:

7x+7

2y+5

6x^2+3y

5a^3+4a^2+3a (This one is the same because none of the terms are alike)

11x

5x+7

10x-9y

5x+5y

x^2+6x

4x+4

Step-by-step explanation:

Combine like terms for all of these, meaning adding or subtracting anything that has the same variable or power of a variable attached to it.

Solve for the indicated variable x/9 - g = a for x

Answers

Answer:

x =  9(a+g)

Step-by-step explanation:

x/9 - g = a

Add g to each side

x/9 - g+g = a+g

x/9 = a+g

Multiply each side by 9

x/9 * 9 = 9(a+g)

x =  9(a+g)

Can you help me please!
Graph the Solution set for 3x<-15
​

Answers

Divide each term by
3 and simplify.

Inequality Form:
x < − 5

Interval Notation:
( − ∞, − 5 )

Answer:

Your answer is: If you solved this inequality you would have to solve the Inequality for x. So your answer would be x < -5, but your graph for that is below ↓

Step-by-step explanation:

Hope this helped : )

I have no idea where to start

Answers

Let me know if you want the answer, but what you need to do first is get the opposite angles.

They're on straight lines, so 180 minus that angle would equal the angle inside the triangle.

Then all inner angles if a triangle add up to 180° so 180 minus the two other angle would give you the final missing angle.

Do the straight line thing again and subtract 156 from it.

the ratio of 10m to 10 km is​

Answers

Answer:

10:10,000 is the answer to ur quation

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