Consider the function. f(x) = x7 (a) Find the inverse function of f. f-¹(x)=√x (b) Graph fand f-1 on the same set of coordinate axes. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) Update Graph domain of f range of f -2.5 -2 -1.5 -Y domain of f-1 y A range of f-1 -0.5 2.5 2 1.5 1 0.5 -0.5 -1 -1.5 -2 -2.5 0.5 (c) Describe the relationship between the graphs. (Enter a mathematical equation in terms of x and y.) 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.) 1 1.5 2 2.5
Consider the function. f(x) = x7 (a) Find the inverse function of f. f-¹(x)=√x (b) Graph fand f-1 on the same set of coordinate axes. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) Update Graph domain of f range of f -2.5 -2 -1.5 -Y domain of f-1 y A range of f-1 -0.5 2.5 2 1.5 1 0.5 -0.5 -1 -1.5 -2 -2.5 0.5 (c) Describe the relationship between the graphs. (Enter a mathematical equation in terms of x and y.) 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.) 1 1.5 2 2.5
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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Question
Transcribed Image Text:Consider the function.
f(x) = x7
(a) Find the inverse function of f.
f-¹(x) = √√√x
(b) Graph fand f-1 on the same set of coordinate axes. (Select Update Graph to see your response plotted on the screen.
Select the Submit button to grade your response.)
Update Graph
domain of f
range of f
domain of f-1
-2.5 -2
range of f-1
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y
-0.5
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2.5
2
1.5
The graphs of f and f-1 are reflections of each other across the line
1
0.5
-0.5
-1
-1.5
-2
(d) State the domain and range of f and f-1. (Enter your answers using interval notation.)
-2.5
(c) Describe the relationship between the graphs. (Enter a mathematical equation in terms of x and y.)
0.5
1
1.5 2
2.5
X
(--
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