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Algebra
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If f(x) = 2x – 7, what is the equation for f^-1(x)?

May 18th, 2015

(x) = -2x - 7

y = f(x) = -2x -7
then solve for x:
-2x = y + 7
x = (y+7)/(-2) = (-y-7)/2

  rewrite in terms of x:

f^(-1)(x) = (-x-7)/2
 Compose the inverse f^(-1) with the function f. then input x.

f^(-1) o f(x) = f^(-1)(-2x-7) = [-(-2x-7) - 7]/2 = [+2x + 7 - 7]/2 = 2x/2 = x
  for all values of x

May 18th, 2015

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