Question

I need to verify that these two functions are inverses.
f(x) = x-7/x+3
g(x) = -3x-7/x-1

Answer 1

Please help!!!!

Answer 2

y = (x-7)/(x+3), is that the first function?

Answer 3

Yes.

Answer 4

To verify that the second function is the inverse, just flip the y and xs in the first one, then solve for y:
x = (y-7)/(y+3)
(y+3)x = (y-7)
yx+3x = y-7
yx - y = -7-3x
y(x-1) = -(7+3x)

Answer 5

y = (-7-3x)/(x-1), or
y = (-3x-7)/(x-1)

Answer 6

yes they both are

Answer 7

The question says: Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

Answer 8

Could you show me how to solve it like that?

Answer 9

Please???