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avatar+-649 

You have linear functions $p(x)$ and $q(x)$. You know $p(2)=3$, and $p(q(x))=4x-7$ for all $x$. Find $q(-1)$.

 

Help, I don't know what to do here!

 Aug 3, 2023
 #1
avatar+1 
-2

p(x)=\(\frac{3}{2}\) because p(2)=3.

 

So, \( \frac{3q(x)}{2}\)=4x-7.

 

multiply both sides by 2/3

 

q(x)=\(\frac{8x-14}{3}\)

 

substitute -1 for x

 

-8-14 = -22

so the answer is \(\frac{-22}{3}\)

 Aug 3, 2023
 #2
avatar+175 
+2

This answer is wildly incorrect. A constant function cannot return two different values.

plaintainmountain  Aug 3, 2023

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