SOLUTION: I need help on showing that functions are inverse. F(x)=10+(8/x) and g(x)=8/(x-10)

Question 187772: I need help on showing that functions are inverse.
F(x)=10+(8/x) and g(x)=8/(x-10)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to show that and are inverses of one another, you need to show that both and .

Show that :

Start with the first function.

Plug in

Flip the second lower fraction and multiply.

Cancel out the common terms.

Simplify.

Combine like terms.

------------------------------------------------------

Show that :

Start with the second function.

Plug in

Combine like terms.

Flip the second lower fraction and multiply.

Cancel out the common terms.

Simplify.

Since both and , this means that the functions and are inverses of one another.
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