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

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Question 468280: If f(x)=-3x+2,what are the values of m and b , so that , f(mx+b)=2x-3
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If f(x)=-3x+2,what are the values of m and b , so that , f(mx+b)=2x-3
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f(mx+b) = -3(mx+b)+2
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= -3mx - 3b+2
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m = [-3m)
b = -3b+2
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Cheers,
Stan H.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

f(x)=-3x+2

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

         -3mx-3b = 2x-5

         -3m = 2,  m = -2/3

          3b = 5,  b = 5/3



CHECKING our Answer***

-3(mx+b)+2 = -3((-2/3)x -3(5/3)+2 = 2x -3 

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