Question

Given f(x)=-8x+4 and g(x) = x^2, choose the expression for (f*g)(x)

Answer 1

`(f\circ g)(x) = - 8 {x}^(2) + 4`

Step-by-step explanation

Given f(x)=-8x+4

and

g(x)=x²

We want to find find an expression for;

`</p><p>(f\circ g)(x) = f(g(x))`

`</p><p>(f\circ g)(x) = f( {x}^(2) )`

We substitute x² into f(x)=-8x+4

This will give us:

`</p><p>(f\circ g)(x) = - 8 {x}^(2) + 4`