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I need help finding the answer. I don’t need a step-by-step explanation just the answer please. Thank you.

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asked Jul 18, 2023 209k views

2 votes

I need help finding the answer. I don’t need a step-by-step explanation just the answer please. Thank you.

I need help finding the answer. I don’t need a step-by-step explanation just the answer-example-1

Mathematics
college

Grahaminn asked

by Grahaminn

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1 Answer

3 votes

Answer: We have to find the composed functions, the answers are as follows:

$\begin{gathered} p(x)=-2x \\ \\ \\ q(x)=x^2+2 \\ \\ -------------- \\ (q\ast p)(3)=q(p(3)) \\ \\ \\ q(p(x))=(-2x)^2+2=4x^2+2 \\ \\ \\ q(p(3))=4(3)^2+2=36+2=38 \\ \\ \\ (q\operatorname{\ast}p)(3)=38 \\ \\ ------------------- \\ (p\ast q)(3)=p(q(3)) \\ \\ \\ p(q(x))=-2(x^2+2)=-2x^2-4 \\ \\ \\ p(q(3))=-2(3)^2-4=-18-4=-22 \\ \\ \\ (p\ast q)(3)=-22 \end{gathered}$

The answers are 38 and -22.

Bumbeishvili answered Jul 24, 2023