Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Note/doubt : I received this answer but I think in the answer for part a) the y^inv must be
y^inv= -(3x-1)/(7x-5)
So it is missing the negative sign, can you please check and let me know if I am right and re-do the problem? Thank you!

Transcribed Image Text:b)
To check the inverse, we will find the value of
ƒ−¹(f(x))
fl
=
=
1-5x
3-7x
1-5x
3-7x
1-5x
3-7x
3*.
7*
Simplify.
-8x
-8
=X
3-15x-3+7x
7-35x-15+35x
-1
Step3
c)
5
Hence,
The inverse of equation is y¯¹:
=
3x-1
7x-5

Transcribed Image Text:Step1
a)
The function is given as y=
To find the inverse of the function, replace
x with y¹ and y with x.
Then,
X =
1-5y-1
3-7y-¹
Simplify.
x*(3-7y-¹)=1-5y-1
3x-7xy-¹-1-5y-1
=
3x-1 =7xy-¹-5y¯1
3x-1=(7x-5)y-1
3x-1
7x-5
1-5x
3-7x
y-1 =
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