Let ƒ(x) = 5*. Find f-'(x). Sketch the graphs of f and f- on the same set of axe

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) = 5*. Find f-(x). Sketch the
graphs of f and f- on the same set of axes
Transcribed Image Text:Let f(x) = 5*. Find f-(x). Sketch the graphs of f and f- on the same set of axes
Expert Solution
Step 1

The given function is fx=5x.

Note that, a function g is the inverse of function f if for y=f(x), x=g(y).

Let y=5x.

Replace x with y.

x=5y

Solve for y:

x=5ylnx=ln5ylnx=yln5y=lnxln5f-1x=lnxln5

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