+0  
 
0
40
1
avatar

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).

 Feb 26, 2020
 #1
avatar+24366 
+1

You have linear functions \(p(x)\) and \(q(x)\). You know \(p(2)=3\), and \(p(q(x))=4x+7\) for all \(x\).

Find \(q(-1)\).

 

\(\begin{array}{|l|} \hline p(q(x)) = 4x+7,\\ \text{if $q(x) = 2$, then $4x+7 = 3$, so $4x= 3-7$ or $4x = -4$ hence $\mathbf{x=-1}$ } \\ \mathbf{q(-1)=2} \\ \hline \end{array}\)

 

laugh

 Feb 26, 2020

39 Online Users

avatar
avatar
avatar
avatar
avatar