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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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