Question

If h(x) = (fog)(x) and h(x) = 4(x+1)^2, find one possibility for f(x) and g(x).

Answer 1

the answer based on the picture is option C

Explanation:

i got it correct on a-p-e-x

Answer 2

Option C

Explanation:

We will check all the options one by one to see which group of function produces h(x)

Option A:

`f(x) = x+1\\g(x) = 4x^2\\(fog)(x) = g(x) + 1\\= 4x^2+1`

Not correct..

Option B:

`f(x) = 4x^2\\g(x)=(x+1)^2\\(fog)(x) = 4(g(x))^2\\= 4[(x+1)^2]^2`

Not Correct

Option C:

`f(x) = 4x^2\\g(x) = x+1\\(fog)(x) = 4(g(x))^2\\= 4(x+1)^2`

The composition is same as h(x) so it is the correct answer ..