f) Determine the equation of the inverse y = f-'(x). Is the inverse a function? Graph the inverse function. And stat the domain and range. [6T]
f) Determine the equation of the inverse y = f-'(x). Is the inverse a function? Graph the inverse function. And stat the domain and range. [6T]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
The writing on paper is what I have written down so far for my assignment. I am just stuck on this last question and do not know how to solve. Can anybody please help me with the information I have given and please answer the question?
![2) a) let f(a) =x?
b) The transformed function is y= af [K(x-d)+C
a = 2 k= Z C= 3.5 d = 1
%3D
The trans formed finction is! y= 2f[Ź(*-1)+3,5
%3D
g(x)= 2[#(x-)]?+3.5
%3D
C).The function is shifted 1 unit to the right.
The function is then stretch ed horizontally by a
factor of Ź.
• The function TB Compressed vertically by a factor of
2.
• The function Is the Shifted up by 3.5 units.
107
key points:
Parent Function/Transfomed Funct
Touches x-axis No Roots
at x=0
Y-intercept is Y-intercept is
4=4
No asymptotes No asymptotes.
Axis of symmetrylxis of Symmetry
is X=0
IS X=1
8.
trans for med
, Blue (uve denutes trans for Mecd
function.
Red Curve denotes paent function,
6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbe16ab8-1dc8-4cdc-be95-091489a93de8%2F6cd9864e-320a-4615-9ce5-c04d7a82968b%2F28ypr2w_processed.png&w=3840&q=75)
Transcribed Image Text:2) a) let f(a) =x?
b) The transformed function is y= af [K(x-d)+C
a = 2 k= Z C= 3.5 d = 1
%3D
The trans formed finction is! y= 2f[Ź(*-1)+3,5
%3D
g(x)= 2[#(x-)]?+3.5
%3D
C).The function is shifted 1 unit to the right.
The function is then stretch ed horizontally by a
factor of Ź.
• The function TB Compressed vertically by a factor of
2.
• The function Is the Shifted up by 3.5 units.
107
key points:
Parent Function/Transfomed Funct
Touches x-axis No Roots
at x=0
Y-intercept is Y-intercept is
4=4
No asymptotes No asymptotes.
Axis of symmetrylxis of Symmetry
is X=0
IS X=1
8.
trans for med
, Blue (uve denutes trans for Mecd
function.
Red Curve denotes paent function,
6.
![f) Determine the equation of the inverse y = f-1(x). Is the inverse a function? Graph the inverse function. And state
the domain and range. [6T]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbe16ab8-1dc8-4cdc-be95-091489a93de8%2F6cd9864e-320a-4615-9ce5-c04d7a82968b%2Fe5zfmi9_processed.png&w=3840&q=75)
Transcribed Image Text:f) Determine the equation of the inverse y = f-1(x). Is the inverse a function? Graph the inverse function. And state
the domain and range. [6T]
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