Let f(x) = x + 12 f-'(x) = %3D 1.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let
f(x) =
x + 12
f-'(x) =
%3D
1.
Transcribed Image Text:Let f(x) = x + 12 f-'(x) = %3D 1.
Expert Solution
Step 1

Let's say y = f(x)

A function g is said to be inverse of a function f, if g(y) = f(x)

Procedure to get inverse of f:

  • Say y = f(x)
  • Then make x the subject of formula. That is express x as function of y.
  • Then replace y by x. That is f-1(x)
Step 2

y = f(x) = 1/(x + 12)

Hence, x + 12 = 1/y

Or, x = 1/y - 12

Now replace y by x on the RHS to get:

f-1(x) = 1/x - 12

Or,

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