a) 1-5x The function is given as y= 3-7x To find the inverse of the function,

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!
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: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
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 =
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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