Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (2 points) f of x equals eight divided by x and g of x equals eight divided by x

Given:

To find:

Whether f(x) and g(x) are inverse of each other by using that f(g(x)) = x and g(f(x)) = x.

Solution:

We know that, two function are inverse of each other if:

and

We have,

Now,

Similarly,

Since, and , therefore, f(x) and g(x) are inverse of each other.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)