SOLUTION: If f(2-3x)=2x³+3x²-5x-7,find the value of f(-1)

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Question 1158814: If f(2-3x)=2x³+3x²-5x-7,find the value of f(-1)
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
If f(2-3x)=2x³+3x²-5x-7, find the value of f(-1)
f(2-3x) will equal f(-1) if and only if what's in the parentheses 
after the f's are equal to each other.  So we set them equal to
each other and solve for what x must be for them to be equal:


2-3x = -1
 -3x = -1-2
  -3x = -3
    x = 1

So we substitute 1 for x in

f%282-3%2Ax%29=2%2Ax%5E3%2B3%2Ax%5E2-5%2Ax-7 

f%282-3%2A1%29=2%2A1%5E3%2B3%2A1%5E2-5%2A1-7

f%282-3%2A1%29=2%2A1%2B3%2A1-5-7

f%282-3%29=2%2B3-5-7

f%28-1%29=-7

Edwin