Question

If h(x)=(f o g) (x) and h(x)=3(x+2)^2, find find one possibility for f(x) and g(x)

Answer 1

if (fog) = 3(x+2)^2, f(x) would = 3x^2 and g(x) would = x+2

Answer 2

`f(x)= 3x^2` and
`g(x)= x+2`

Explanation:

`h(x)=(f o g) (x)`

`h(x)=3(x+2)^2`

`(f og)(x) = f(g(x))`

g(x) is the inside function and f is the outside function

To get g(x) , we need to find the inside function in h(x)

`h(x)=3(x+2)^2`

Inside function is x+2

So g(x) is x+2

when g(x)= x+2 then f(x) is
`3x^2`

So
`f(x)= 3x^2` and
`g(x)= x+2`