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Consider the function. f(x) = x² - 1 (a) Find the inverse function of f. F-¹(x) = (b) Graph f and f-1 on the same set of coordinate axes. y 5+ 4 3 2 -6 -5 -4 -3 -2 -4 -3 -2 -1 y 6 5 4 3 2 f -2 -3 -4 -2 -3 -4 -5 -6 2 3 L 2 3 4 L L 4 5 56 X X -6 -5 -4 -3 -2 -1 -4 -3 -2 f 1 y 6 5 4 3 2 -2 -3 -4 y 5t 4 3 2 -2 -3 -4 -5 -6 2 WebAssign Plot f 1 3 2 3 4 L 4 L 5 6 X X

Consider the function. f(x) = x² - 1 (a) Find the inverse function of f. F-¹(x) = (b) Graph f and f-1 on the same set of coordinate axes. y 5+ 4 3 2 -6 -5 -4 -3 -2 -4 -3 -2 -1 y 6 5 4 3 2 f -2 -3 -4 -2 -3 -4 -5 -6 2 3 L 2 3 4 L L 4 5 56 X X -6 -5 -4 -3 -2 -1 -4 -3 -2 f 1 y 6 5 4 3 2 -2 -3 -4 y 5t 4 3 2 -2 -3 -4 -5 -6 2 WebAssign Plot f 1 3 2 3 4 L 4 L 5 6 X X

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function. f(x) = x² - 1 (a) Find the inverse function of f. f-¹(x) = (b) Graph f and f-1 on the same set of coordinate axes. y 5+ 4 3 2 -6 -5 -4 -3 -2 -4 -3 -2 -1 y 6 5 4 3 2 f -2 -3 -4 -2 -3 -4 -5 -6 2 3 2 L 3 L 1 4 5 4 56 X X -6 -5 -4 -3 -2 -1 -4 -3 -2 f 1 y 6 5 4 3 2 -2 -3 -4 y 5t 4 3 2 -2 -3 -4 -5 -6 2 WebAssign Plot f 1 3 2 3 4 1 4 L 5 6 X X
Transcribed Image Text:Consider the function. f(x) = x² - 1 (a) Find the inverse function of f. f-¹(x) = (b) Graph f and f-1 on the same set of coordinate axes. y 5+ 4 3 2 -6 -5 -4 -3 -2 -4 -3 -2 -1 y 6 5 4 3 2 f -2 -3 -4 -2 -3 -4 -5 -6 2 3 2 L 3 L 1 4 5 4 56 X X -6 -5 -4 -3 -2 -1 -4 -3 -2 f 1 y 6 5 4 3 2 -2 -3 -4 y 5t 4 3 2 -2 -3 -4 -5 -6 2 WebAssign Plot f 1 3 2 3 4 1 4 L 5 6 X X
(c) Describe the relationship between the graphs. The graphs of f and f-1 are reflections of each other across the line (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) Domain of f Range of f Domain of f-1 Range of f-1
Transcribed Image Text:(c) Describe the relationship between the graphs. The graphs of f and f-1 are reflections of each other across the line (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) Domain of f Range of f Domain of f-1 Range of f-1
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