Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = quantity x minus eight divided by quantity x plus seven and g(x) = quant

Question

precalculus

Answer 1

We are missing the rest of g(x).

 

Even so, let's see if I can help.

 

Just like f(3) = (3 - 8)/(3 - 7), you replace x with g(x).

 

g(f(x)) is the other way around.

 

Calculate both fully and you should end up with x once you combine like terms and divide.