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Archy [21]
3 years ago
15

I REALLY NEED HELP WORTH 10 POINTS URGENT!!!!!

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

Answer:

(f\circ g)(4)=31

Step-by-step explanation:

<u>Composite Function</u>

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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