We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
106
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).

 Mar 30, 2019
 #1
avatar+6046 
0

\(p(q(-1))=4(-1)+7 = 3\\ \text{linear functions are a bijection, i.e. }\\ p(x)=a \text{ and } p(y)=a \Rightarrow x = y\\ p(2)=3 \text{ and } p(q(-1))=3 \Rightarrow q(-1)=2\)

.
 Mar 30, 2019

8 Online Users