Exercise 2: Determine whether each statement is true or false. 1. The inverse of the function f(x) = x + 5 is g(x) = x – 5. 2. The inverse of the relation R = {(0,–1), (0, 2), (0, –3)} is a function. 3. The product of two inverse functions is always 1.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.5: Functions
Problem 1ECP: Determine whether the relation represents y as a function of x a.Domain,xRange,yb.
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DETERMINE WHETHER EACH STATEMENT IS TRUE OR FALSE (EXPLAIN WHY IT'S TRUE / FALSE)
Exercise 2: Determine whether each statement is true or false.
1. The inverse of the function f(x) = x + 5 is g(x) = x – 5.
2. The inverse of the relation R = {(0,–1), (0, 2), (0, –3)} is a function.
3. The product of two inverse functions is always 1.
4. The inverse of the function f (x) = 4x is f¯1(x) = -4x.
5. The functions f(x) = 3x² and g(x) =x are inverses of each other.
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Transcribed Image Text:Exercise 2: Determine whether each statement is true or false. 1. The inverse of the function f(x) = x + 5 is g(x) = x – 5. 2. The inverse of the relation R = {(0,–1), (0, 2), (0, –3)} is a function. 3. The product of two inverse functions is always 1. 4. The inverse of the function f (x) = 4x is f¯1(x) = -4x. 5. The functions f(x) = 3x² and g(x) =x are inverses of each other. %3D %3D %3D
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