1 Answer

Ian Fiddes · Answer 1 · 2021-11-14T10:06:21+0000

Answer:

$(f\circ g)(4)=31$

Explanation:

Composite Function

Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:

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

For practical purposes, it can be found by substituting g into f.

We have:

f(x)=3x+1

g(x)=x^2-6

Computing the composite function:

$(f\circ g)(x)=f(g(x))=3(x^2-6)+1$

Operating:

$(f\circ g)(x)=3x^2-18+1$

Operating:

$(f\circ g)(x)=3x^2-17$

Now evaluate for x=4

$(f\circ g)(4)=3(4)^2-17=48-17$

$\boxed{(f\circ g)(4)=31}$

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