A function is shown g(x)=96.2(4)(x+2.5). The function g can be rewritten as the function h in the form h(x)=a(4)x. What is the value of a in the function h(x)?

I already know the answer, but I need the step-by-step. Thank you!

Answer:

96.2+240.5/x

Step-by-step explanation:

g(x)=96.2(4)(x+2.5)

h(x)=[96.2(x+2.5)](4)--------------Calculate[96.2(x+2.5)] first

h(x)=(96.2x+240.5)(4)

h(x)=x(96.2+240.5/x)(4)----------bring out X,So 96.2x+240.5 is divided by x

h(x)=(96.2+240.5/x)(4)x

h(x)=a(4)x

so a=96.2+240.5/x

The value of a is 96.2 + 240.5/x.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

Given g(x) = 96.2(4)(x+2.5),

and h(x) = a(4)x,

to find a

h(x) = [96.2(x + 2.5)](4)--------------Calculate[96.2(x+2.5)] first

h(x) = (96.2x + 240.5)(4)

h(x) = x(96.2 + 240.5/x)(4)--------bring out x,So 96.2x+240.5 is divided by x

h(x) = (96.2 + 240.5/x)(4)x

h(x) = a(4)x

so a  = 96.2 + 240.5/x

Hence value of a  = 96.2 + 240.5/x

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