Answer: f(g(2))=-7
Step-by-step explanation:
STEP 1. Find g(2)
g(x)=x²-6x-7
g(2)=(2)²-6(2)-7
g(2)=4-12-7
g(2)=-15
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STEP 2. Find f(g(2))
f(x)=x+8
f(g(2))=g(2)+8
f(-15)=-15+8
f(-15)=-7
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Answer:
The Answer is -7 .
Step-by-step explanation:
f(x)= x+8
g(x)= [tex]x^{2}[/tex]-6x-7
Now,
fog(2)=f ([tex]2^{2}[/tex]-6*2-7)
=f (4-12-7)
=f (-15)
=-15+8
= -7