Let y = 15/(2x-9)
Switch x and y to get x = 15/(2y-9)
Solve for y: x(2y-9) = 15
2xy - 9x = 15
2xy = 9x+15
y = (9x+15)/(2x) = f-1(x)
Javier P.
asked • 10/29/16Find the inverse
Find the inverse of f(x)=(15/2x-9)
I need help...I just don't seem to understand how to do this problem.
Your help is really appreciated.
I need help...I just don't seem to understand how to do this problem.
Your help is really appreciated.
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2 Answers By Expert Tutors
Michael J. answered • 10/29/16
Tutor
5
(5)
Effective High School STEM Tutor & CUNY Math Peer Leader
I showed you how to do this the other day. Read the answer to that similar problem and learn it. All you have to do is switch places with x and f(x). Then solve for f(x) from there.
Kenneth S.
Michael, it should be clarified (by submitting student) what the scope of the denominator is. It's probable that the question has 2x-9 as denominator, but the was it has been written would not achieve that.
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10/29/16
Kenneth S.
...the WAY it was written was what I intended to say in prior comment.
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10/29/16
Michael J.
I told him the steps to solving the problem. Whether he typed the equation clearly or not does not matter here. All he has to do is follow my instructions, and he will get the inverse function.
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10/29/16
Javier P.
I want to apologize to both of tutors, I am aware that my question has cost valuable time from you, I promise this won't happen again and would try to learn the given instructions by the tutor: Michael J. Once again, thanks for your comments and given help.
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10/30/16
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Javier P.
10/30/16