SOLUTION: (a) Let f(x): (-inf, 0) U (0 inf) --> R be defined by f(x) = x- (1/x) Show that f(x) has no inverse function. (b) Let g(x): (), inf) --> R be defined by gx) = x- (1/x) Show that

Algebra ->  Functions -> SOLUTION: (a) Let f(x): (-inf, 0) U (0 inf) --> R be defined by f(x) = x- (1/x) Show that f(x) has no inverse function. (b) Let g(x): (), inf) --> R be defined by gx) = x- (1/x) Show that      Log On


   



Question 1171008: (a) Let f(x): (-inf, 0) U (0 inf) --> R be defined by f(x) = x- (1/x)
Show that f(x) has no inverse function.
(b) Let g(x): (), inf) --> R be defined by gx) = x- (1/x)
Show that g(x) has an inverse function.
I know I asked this question before, but I didn't really understand the answer, so can you please explain in detail? I don't really get inverse functions. A million thanks for your time.

Answer by ikleyn(52750) About Me  (Show Source):
You can put this solution on YOUR website!
.

It was just solved at this forum once. See the link

https://www.algebra.com/algebra/homework/Functions/Functions.faq.question.1170306.html

https://www.algebra.com/algebra/homework/Functions/Functions.faq.question.1170306.html