Math Question in High School Adv. Algebra II?

Question

f(x)=2x+3
find a and b such that f(ax+b)=x

Answer 1

f(ax+b) = 2(ax+b) + 3
= 2ax + (2b+3)

this equals x only if 2a=1, and 2b+3=0

then a = 1/2
and b = -3/2

Answer 2

OK, so?
plug in ax+b and set equal to x:

2(ax+b)+3 = x

Answer 3

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