the function. x+1 f(x)= (a) Find the Inverse function of f. 1-¹(x) = (b) Use a graphing utility to graph fand f In the same viewing window. ++ 5 10 -10 -5 -10 O -10 -5 -10 -10 5 10

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 4ECP
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Please answer all parts ASAP, please give the answers neatly and labeled. thank u!

Consider the function.
x
f(x) = ² + 1
(a) Find the Inverse function of f.
f-¹(x) =
(b) Use a graphing utility to graph fand f In the same viewing window.
10
J
-10
-5
5
10
-10
-5
-10
y
1
++
10
-10
10
5
x
▬▬▬▬▬▬▬▬▬▬▬▬▬▬X
10
Transcribed Image Text:Consider the function. x f(x) = ² + 1 (a) Find the Inverse function of f. f-¹(x) = (b) Use a graphing utility to graph fand f In the same viewing window. 10 J -10 -5 5 10 -10 -5 -10 y 1 ++ 10 -10 10 5 x ▬▬▬▬▬▬▬▬▬▬▬▬▬▬X 10
-10
O
(c) Describe the relationship between the graphs.
The graphs off and f-1 are reflections of each other in the line
Range of f
10
Domain of f-1
(d) State the domain and range of f and f-1. (Enter your answers using interval notation.)
Domain off
Range of f-1
-10
O
10
X
Transcribed Image Text:-10 O (c) Describe the relationship between the graphs. The graphs off and f-1 are reflections of each other in the line Range of f 10 Domain of f-1 (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) Domain off Range of f-1 -10 O 10 X
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Follow-up Question

Please fix number c, the answer I put in for that is wrong. 

-10
(c) Describe the relationship between the graphs.
The graphs off and f-1 are reflections of each other in the line y = -x
Range of f
Domain of f
5
(d) State the domain and range of f and f-1. (Enter your answers using interval notation.)
Domain off
(-∞0,0), (0,00)
Range of f-1
10
(-∞0,1),(1,00)
(-∞0,1),(1,00)
(-∞0,0), ((0,00))
-10
5
10
Transcribed Image Text:-10 (c) Describe the relationship between the graphs. The graphs off and f-1 are reflections of each other in the line y = -x Range of f Domain of f 5 (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) Domain off (-∞0,0), (0,00) Range of f-1 10 (-∞0,1),(1,00) (-∞0,1),(1,00) (-∞0,0), ((0,00)) -10 5 10
Consider the function.
f(x) =
(a) Find the Inverse function of f.
f(x) = x-1
(b) Use a graphing utility to graph fand f-1 In the same viewing window.
y
10
-10
y
5
1
10
-10
"▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ X
5
10
f
Transcribed Image Text:Consider the function. f(x) = (a) Find the Inverse function of f. f(x) = x-1 (b) Use a graphing utility to graph fand f-1 In the same viewing window. y 10 -10 y 5 1 10 -10 "▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ X 5 10 f
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