Given:
h is composition of two functions f and g.

One of the function is 8x-9.

To find:
The functions f(x) and g(x).
Solution:
We know that,
![h(x)=(f\circ g)(x)=f[g(x)]](https://tex.z-dn.net/?f=h%28x%29%3D%28f%5Ccirc%20g%29%28x%29%3Df%5Bg%28x%29%5D)
We have,

Here, first function is 8x-9 and the second is square of it.
In
, first function which is applied is g(x) and the second function is f(x).
Let
and
.
![h(x)=f[8x-9]](https://tex.z-dn.net/?f=h%28x%29%3Df%5B8x-9%5D)

So, our assumption is correct.
Therefore, the required functions are
and
.