The function f(x) = 5x + 3 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 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. f-1(x) = for x2 O B. f-1(x) = for xs OC. f-1(x) = for x# x- 3 D. f(x) = for all x b. Verify that the equation is correct. f(t-1(x) f-1 (f(x)) = f-1 (D and Substitute. Simplify. ||

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
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The function f(x) = 5x + 3 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 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. f-1(x) =
for x2
O B. f-1(x) =
for xs
OC. f-1(x) =
for x#
x- 3
D. f(x) =
for all x
b. Verify that the equation is correct.
f(t-1(x)
f-1 (f(x)) =
f-1 (D
and
Substitute.
Simplify.
Transcribed Image Text:The function f(x) = 5x + 3 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 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. f-1(x) = for x2 O B. f-1(x) = for xs OC. f-1(x) = for x# x- 3 D. f(x) = for all x b. Verify that the equation is correct. f(t-1(x) f-1 (f(x)) = f-1 (D and Substitute. Simplify.
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