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Find an equation for f'(x), the inverse function. Verify that your equation is correct by showing that f(f¯'(x)) = x and f (f(x)) = x.

Find an equation for f'(x), the inverse function. Verify that your equation is correct by showing that f(f¯'(x)) = x and f (f(x)) = x.

Advanced Engineering Mathematics
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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The function f(x) = x + 9 is one-to-one. a. Find an equation for f(x), the inverse function. b. Verify that your equation is correct by showing that f (f(x)) = x and f (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.) O A. f1(x) = for xs O B. f-1(x) = for x# c. f1(x) = x- 9 , for all x O D. f-1(x) = for x2 b. Verify that the equation is correct. = fO f1 (f(x)) = f-1( and Substitute. Simplify. %3D
Transcribed Image Text:The function f(x) = x + 9 is one-to-one. a. Find an equation for f(x), the inverse function. b. Verify that your equation is correct by showing that f (f(x)) = x and f (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.) O A. f1(x) = for xs O B. f-1(x) = for x# c. f1(x) = x- 9 , for all x O D. f-1(x) = for x2 b. Verify that the equation is correct. = fO f1 (f(x)) = f-1( and Substitute. Simplify. %3D
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