The function f(x) = x° - 2 is one-to-one. a. Find an equation for f1, the inverse function. b. Verify that your equation is correct by showing that f(f1(x) = x and f1 (f(x)) = x. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) A. f1(x) = Vx+2 , for all x O B. f1(x) = for x2 %3D OC. f1(x) = for x# D. f1(x) = for xs b. Verify that the equation is correct. and f-1 (f(x)) = f-1 Substitute. Simplify.
The function f(x) = x° - 2 is one-to-one. a. Find an equation for f1, the inverse function. b. Verify that your equation is correct by showing that f(f1(x) = x and f1 (f(x)) = x. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) A. f1(x) = Vx+2 , for all x O B. f1(x) = for x2 %3D OC. f1(x) = for x# D. f1(x) = for xs b. Verify that the equation is correct. and f-1 (f(x)) = f-1 Substitute. Simplify.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The function f(x) = x° - 2 is one-to-one.
a. Find an equation for f1, the inverse function.
b. Verify that your equation is correct by showing that f(f1(x) = x and f1 (f(x)) = x.
a. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
A. f1(x) = Vx+2 , for all x
O B. f1(x) =
for x2
%3D
OC. f1(x) =
for x#
D. f1(x) =
for xs
b. Verify that the equation is correct.
and
f-1 (f(x)) = f-1
Substitute.
Simplify.
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