Question

Given f(x)=7x-9 and g(x) =x^2, choose the expression for (f*g)(x)

Answer 1

`(f\circ g)(x)=7 {x}^(2) - 9`

Step-by-step explanation

It was given that;

`f(x) = 7x - 9`

and

`g(x) = {x}^(2)`

We want to find an expression for the composition function;

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

`(f\circ g)(x)=f( {x}^(2) )`

We substitute x² into f(x)=7x-9

This will give us:

`(f\circ g)(x)=7 {x}^(2) - 9`