Question

Given f(x) = -3x-7 and g(x) = x^4, choose the expression for (f*g)(x)

Answer 1

`(f\circ g)(x) = - 3 {x}^(4) - 7`

EXPLANATION

It was given that;

`f(x) = - 3x - 7`

and

`g(x) = {x}^(4)`

We want to find the composite function,

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

`(f\circ g)(x) = f( {x}^(4) )`

We plug in x⁴ into f(x)=-3x-7 to obtain:

`(f\circ g)(x) = - 3 {x}^(4) - 7`

Answer 2

Explanation:

f(x) =-3x - 7

f(g(x)) = -3*g(x) - 7

f(g(x)) = -3*x^4 - 7

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