The function f(x)=x+12x−4 is​ one-to-one. For the​ function,   a. Find an equation for f−1(x)​, the inverse function. b. Verify that your equation is correct by showing that ff−1(x)=x and f−1(f(x))=x.

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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The function
f(x)=x+12x−4
is​ one-to-one. For the​ function,
 
a. Find an equation for
f−1(x)​,
the inverse function.
b. Verify that your equation is correct by showing that
ff−1(x)=x
and
f−1(f(x))=x.
Watch the video and then solve the problem given below.
Click here to watch the video.
The function f(x) =
x + 12
X-4
is one-to-one. For the function,
a. Find an equation for f(x), the inverse function.
b. Verify that your equation is correct by showing that f(ƒ˜ ¹(x)) = =x and f¹(f(x)) = x.
O B. f¹(x) =
O c. f¹(x) =
OD. f¹(x)=
a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
OA. f¹(x) =
for all x
for x ≤
for x #
for x ≥
Transcribed Image Text:Watch the video and then solve the problem given below. Click here to watch the video. The function f(x) = x + 12 X-4 is one-to-one. For the function, a. Find an equation for f(x), the inverse function. b. Verify that your equation is correct by showing that f(ƒ˜ ¹(x)) = =x and f¹(f(x)) = x. O B. f¹(x) = O c. f¹(x) = OD. f¹(x)= a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) OA. f¹(x) = for all x for x ≤ for x # for x ≥
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