The function f(x)=x²-9, x ≥ 0 is one-to-one. (a) Find the inverse of f and check the answer. (b) Find the domain and the range of f and f¹. (c) Graph f, f¹, and y=x on the same coordinate axes. (a) f(x) = (Simplify your answer. Use integers or fractions for any numbers in the expression.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CR: Chapter Review
Problem 89E
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The function f(x)=x²-9, x ≥ 0 is one-to-one.
(a) Find the inverse of f and check the answer.
(b) Find the domain and the range of f and f¹.
(c) Graph f, f¹, and y=x on the same coordinate axes.
(a) f¹(x) =
(Simplify your answer. Use integers or fractions for any
numbers in the expression.)
Transcribed Image Text:The function f(x)=x²-9, x ≥ 0 is one-to-one. (a) Find the inverse of f and check the answer. (b) Find the domain and the range of f and f¹. (c) Graph f, f¹, and y=x on the same coordinate axes. (a) f¹(x) = (Simplify your answer. Use integers or fractions for any numbers in the expression.)
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