Question

Verify that the functions f and g, are inverses of each other by showing that f(g(x))=x and g(f(x))=x. Graph both functions on the same graph. Please show all work.
f(x)= 6/1-x
g(x)= 1-6/x

Answer 1

\[f(g(x))=\frac{6}{1-(1-\frac{6}{x})}\]
\[g(f(x))=1-\frac{6}{\frac{6}{1-x}}\]

Answer 2

can you graph it please

Answer 3

Try out a few points:

x | -5 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 7
f(x) | 1 | 2 | 3 | 6 | undefined | -6 | -3 | -2 | -1

Answer 4

how did you get this answer?

Answer 5

Hey vood- is there any way to get these on the same graph??