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Scorpion4ik [409]
3 years ago
8

Express your answer as a polynomial in standard form.

Mathematics
1 answer:
Alona [7]3 years ago
8 0

Answer:

(f\circ g)(x)=-2x^2-2x+4

Step-by-step explanation:

So we have the two function:

f(x)=-x+6\text{ and } g(x)=2x^2+x+2

And we want to find:

(f\circ g)(x)

This is the same as:

=f(g(x))

So, substitute g(x) into f(x):

f(g(x))=-(g(x))+6

Substitute:

f(g(x))=-(2x^2+x+2)+6

Distribute:

f(g(x))=-2x^2-x-2+6

Combine like terms:

f(g(x))=-2x^2-2x+4

So:

(f\circ g)(x)=-2x^2-2x+4

And we're done!

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