Question

If h(x)=(fog) (x) and h(x)=3(x+2)^2, find f(x) and g(x)

Answer 1

h(x)=3(x+2)^2
We need to split it into f(g(x))

In 3(x+2)^2 we see a squaring function and we see an adding function.
so g(x) can be (x+2)
and f(x) can be 3x^2

Answer 2

\((f\circ g)(x) = f(g(x))\)

We can easily let g(x) = x, so f(x) can be equal to h(x)

Since \(h(x) = 3(x+2)^2\), we can let \(f(x) = 3(x+2)^2\)

So \(f(g(x)) = f(x) = 3(x+2)^2\)

So we have \(f(x) = 3(x+2)^2\) and \(g(x) = x\)

LOL at this question... very bypass-able haha

Answer 3

seriously, do what @aum did.

Answer 4

Thanks you so much!

Answer 5

You are welcome.