SOLUTION: If f(x)=-3x+2,what are the values of m and b so that f(mx+b)=2x-3?

 
f(x) = -3x + 2

Repace x by mx+b

f(mx+b) = -3(mx+b) + 2

f(mx+b) = -3mx - 3b + 2

We are told that

f(mx+b) = 2x - 3

So

-3mx - 3b + 2 = 2x - 3  for all values of x

Therefore we set the coefficients of x equal:

          -3m = 2
            m = 

And we set the constants equal:

      -3b + 2 = -3

          -3b = -5

            b = 

            b =         


Edwin