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Question 911269: for what value(s) will the constant k will the following function NOT be it's own inverse?
f(x)=(x-k)/(x-1)
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! Attempting just to find a formula for the inverse,  as expected.
Look at the function definition.
x<>1 because f is undefined there.
x=0 makes for f=k, a constant.
x=k makes f=0.
We want to know a certain value for k so that f has either a different inverse or has no inverse.
k=0, f is just a more specific function.
k=1, then  , which is a constant.
For  , f will be the line  , a HORIZONTAL LINE, the same "y" for all values of x. If you reflect this over the line  , this forms the inverse RELATION,  . This is NOT a function; because it is a VERTICAL LINE, and has infinite values of y for just one value of x.
For what value(s) will the constant k will the following function NOT be it's own inverse?
ANSWER: .
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