Question

Determine whether the two functions are inverses.
t(x) = 4 over x -1 and v(x) = x + 4 over x

Answer 1

So far I have t(x+4 over x) = 4 over x-1 + 4 over x. Stuck now on what to do!

Answer 2

To find the inverse, switch the X and Y and solve for Y.

Answer 3

I feel like I should be finding the common denominator but not sure if that is correct

Answer 4

Nope.

Answer 5

Ok so there can be a simple test for this

If two function, f(x) and g(x), are inverses that means that g(f(x))=x and f(g(x))=x

So you could input any number for x in either equation, chug out a number, then put that number in the other one, and you should get what you started with

Answer 6

Thanks so much! I worked it out that way and it worked!