Consider the function. x+7 f(x) = X (a) Find the inverse function of f. f-¹(x) = (b) Use a graphing utility to graph fand f-1 in the same viewing window. y O -TO -10 Range of f -5 Domain of f-1 10 Range of f-1 -1bH f 5 (c) Describe the relationship between the graphs. The graphs of f and f-1 are reflections of each other in the line 5 10 X X -TO -10 (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) Domain of f 10 -5 y 10 f¹ 5 -10- 5 10 X X
Consider the function. x+7 f(x) = X (a) Find the inverse function of f. f-¹(x) = (b) Use a graphing utility to graph fand f-1 in the same viewing window. y O -TO -10 Range of f -5 Domain of f-1 10 Range of f-1 -1bH f 5 (c) Describe the relationship between the graphs. The graphs of f and f-1 are reflections of each other in the line 5 10 X X -TO -10 (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) Domain of f 10 -5 y 10 f¹ 5 -10- 5 10 X X
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.7: Inverses Of Linear-functions
Problem 32PPS
Related questions
Question
![Consider the function.
x + 7
X
(a) Find the inverse function of f.
f-¹(x) =
f(x)
=
(b) Use a graphing utility to graph fand f-1 in the same viewing window.
y
O
TO
- 10
Range of f
-5
Domain of f-1
10
Range of f-1
5
-1DH
f
y
5
-5
-1αFI
(c) Describe the relationship between the graphs.
The graphs off and f-1 are reflections of each other in the line
5
10
X
X
-TO
(d) State the domain and range of f and f-1. (Enter your answers using interval notation.)
Domain of f
-10
-5
y
10
5
-1DH
y
1/0 H
5
-5
-10F
f
5
10
10
X
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab6702de-5579-4c14-bacb-4d8e7e421acd%2F6c8ce9e6-eae7-4551-bf2a-ec07ffecd71d%2Ftdy56i4_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the function.
x + 7
X
(a) Find the inverse function of f.
f-¹(x) =
f(x)
=
(b) Use a graphing utility to graph fand f-1 in the same viewing window.
y
O
TO
- 10
Range of f
-5
Domain of f-1
10
Range of f-1
5
-1DH
f
y
5
-5
-1αFI
(c) Describe the relationship between the graphs.
The graphs off and f-1 are reflections of each other in the line
5
10
X
X
-TO
(d) State the domain and range of f and f-1. (Enter your answers using interval notation.)
Domain of f
-10
-5
y
10
5
-1DH
y
1/0 H
5
-5
-10F
f
5
10
10
X
X
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