Nickynoemy Nickynoemy
  • 24-06-2020
  • Mathematics
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What is the inverse of the given function f(x)=1/4x -12?

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sqdancefan
sqdancefan sqdancefan
  • 03-07-2020

Answer:

  [tex]f^{-1}(x)=4x+48[/tex]

Step-by-step explanation:

To find the inverse, solve for y:

  x = f(y)

  x = (1/4)y -12

  x +12 = (1/4)y . . . . add 12

  4(x +12) = y . . . . . multiply by 4

  y = 4x +48 . . . . . . simplify

The inverse function is ...

  [tex]\boxed{f^{-1}(x)=4x+48}[/tex]

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