Зх + 2 The function f(x) = is one-to-one. х- 5 a. Find an equation for f1(x), the inverse function. b. Verify that your equation is correct by showing that f (f(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 answers. Use integers or fractions for any numbers in the expression.) 5x +2 A. f¯1(x) = x- 3 for x+ 3 B. f1(x) = for all x Oc. f-1(x) = for xs O D. f-1(x) = for x2 b. Verify that the equation is correct. (Simplify your answers. Use integers or fractions for any numbers in the expression.) f(f* (x) f (f(x)) = f-1 (D and Substitute. Simplify.
Зх + 2 The function f(x) = is one-to-one. х- 5 a. Find an equation for f1(x), the inverse function. b. Verify that your equation is correct by showing that f (f(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 answers. Use integers or fractions for any numbers in the expression.) 5x +2 A. f¯1(x) = x- 3 for x+ 3 B. f1(x) = for all x Oc. f-1(x) = for xs O D. f-1(x) = for x2 b. Verify that the equation is correct. (Simplify your answers. Use integers or fractions for any numbers in the expression.) f(f* (x) f (f(x)) = f-1 (D and 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
Related questions
Question
5
Transcribed Image Text:Зх + 2
The function f(x) =
is one-to-one.
х- 5
a. Find an equation for f1(x), 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 answers. Use integers or fractions for any numbers in the expression.)
5x +2
A. f¯1(x) =
x- 3
for x+ 3
B. f1(x) =
for all x
Oc. f-1(x) =
for xs
O D. f-1(x) =
for x2
b. Verify that the equation is correct.
(Simplify your answers. Use integers or fractions for any numbers in the expression.)
f(f* (x)
f (f(x)) = f-1 (D
and
Substitute.
Simplify.
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