Question

find f(x) and g(x) so that the function can be described as y = f(g(x)).

y =9/x^2 + 2

Answer 1

You are given a "composite function here. This means that one function is the INPUT of the other function. Have you done this kind of problem before?

Answer 2

Note that x^2 could be regarded as a separate function.

Answer 3

This question should contains options.

Answer 4

Because we have more than one choice.

Answer 5

I agree that there may be more than just one solution.

Review: a composite function is one in which one function g(x) is the input to another function f(x). Try again. Do you see a separate function in y =9/x^2 + 2?

Answer 6

let g(x) be some part of what the right side is

f(that part) = y the whole function

Answer 7

g(x) = x
f(x) = 9/g(x)^2 + 2
f(g(x)) = 9/x^2 + 2

or

g(x) = x^2
f(x) = 9/g(x) +2
f(g(x)) = 9/g(x) + 2

or

g(x) = g(x) = 9/x^2
f(x) = g(x) + 2