-1 Find an equation for f the inverse function. 1 Verify that your equation is correct by showing that f(f¯¹(x)) = x and f¯¹ (f(x)) = x. Select the correct choice below and fill in the answer box(es) to complete your choi Simplify your answer. Use integers or fractions for any numbers in the expression.) A. f¹(x) = for x # B. f¹(x)= for x ≤ OC. f¹(x) = for x 2 c. D. f¹(x)= for all x D. Verify that the equation is correct. and ม - 1 ƒ¨¯¹ (f(x)) = f¯¹) Substitute.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 96SE: The radius r, in inches, of a spherical balloon isrelated to the volume, V, by r(V)=3V43 . Air is...
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Question
The function f(x) = 5x + 3 is one-to-one.
1
a. Find an equation for f
the inverse function.
b. Verify that your equation is correct by showing that f(f¯¹(x)) = x and f¯¯¹ (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.)
1
OA. f¹(x) =
for x #
OB. f(x)=
OC. f(x)= for x 2
OD. f¹(x)=, for all x
b. Verify that the equation is correct.
=
for x ≤
and
ƒ¯¹ (f(x)) = f'
=
4
Substitute
Simplify.
Transcribed Image Text:The function f(x) = 5x + 3 is one-to-one. 1 a. Find an equation for f the inverse function. b. Verify that your equation is correct by showing that f(f¯¹(x)) = x and f¯¯¹ (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.) 1 OA. f¹(x) = for x # OB. f(x)= OC. f(x)= for x 2 OD. f¹(x)=, for all x b. Verify that the equation is correct. = for x ≤ and ƒ¯¹ (f(x)) = f' = 4 Substitute Simplify.
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