Question

type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). find the inverse of the given function. f(x)=2x-4 f^-1(x)= __x+___

Answer 1

Answer:

  f^-1(x) = 1/2x +2

Step-by-step explanation:

You want the inverse function of f(x) = 2x -4.

Inverse function

The inverse of a function swaps input and output:

  x = f(y)

Solving for y will give the inverse function.

  x = 2y -4

  x +4 = 2y . . . . . . add 4

  1/2x +2 = y . . . . . divide by 2

The inverse function is f^-1(x) = 1/2x +2.

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