Question

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

Answer 1

ANSWER

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

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:

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