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Inverse Functions Problem

bcasted

New member
May 3, 2013
1
f(x)=a+4/(x-a)
f-1(x)=(a^2-ax-4)/(a-x)

Which of the following is true?
The function is the opposite of its own inverse for any value of a.
The function is its own inverse for positive values of a only.
The function is the reciprocal of its own inverse for positive values of a only.
The function is its own inverse for negative values of a only.
The function is its own inverse for any value of a.
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Re: Inverse functions problem help please

What has your investigation led you to find?
 

earboth

Active member
Jan 30, 2012
74
f(x)=a+4/(x-a)
f-1(x)=(a^2-ax-4)/(a-x)

....
If this equation: \(\displaystyle f^{-1}(x)=\frac{a^2-ax-4}{a-x}\)
is meant to be the equation of the reverse function then this equation is false.