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

Answer:

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

Step-by-step 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 $g(x)= x+2$