Question

HELP!!
Find and simplify the composite function (h o h)(x)
where h(x)= (x+7)/(x-7).

Thanks

Answer 1

\[
(h\circ h)(x) = h(h(x)) = h\left(\frac{x+7}{x-7}\right) = h\left(\frac{\frac{x+7}{x-7}+7}{\frac{x+7}{x-7}-7}\right)
\]Now you must simplify.

Answer 2

yup you are right, but i am actually having a hard time simplifying this :/

Answer 3

can you help me a little bit more?

Answer 4

Multiply the top and bottom by \(x-7\) for starters.

Answer 5

\[
\frac{\frac{x+7}{x-7}+7}{\frac{x+7}{x-7}-7}=\frac{x+7+7(x-7)}{x+7-7(x-7)}
\]

Answer 6

Can you do the rest from here?