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# linear functions

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You have linear functions p(x) and q(x). You know p(2)=3, and p(q(x))=4x+17 for all x. Find q(-1).

Jul 21, 2022

#2
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I let      p(x)=ax+b            and      q(x)=tx+r

I did all the substitution and got eall the terms in terms of b

I could then find q(-1) in terms of b  but not as a number on its own.

I do not think that my answer is wrong.

$$a=\frac{3-b}{2}\\ t=\frac{8}{3-b}\\ r=\frac{34-2b}{b-3}\\$$

etc

Jul 22, 2022