Question

Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be the inverse with f(x). f(x) = (-2/x) – 1; g(x) = -2/(x+1)

Choices:
a. g(x) has to be: (1+x)/2
b. g(x) has to be: x/2
c. g(x) has to be: 2 – (1/x)
d. Inverses

Answer 1

Explanation:

Hello,

`x = (fof^(-1))(x)=f(f^(-1)(x))=(-2)/(f^(-1)(x))-1\\\\<=>f^(-1)(x)(x+1)=-2\\\\<=> f^(-1)(x)=(-2)/(x+1)`

and this is g(x)

so they are inverses

Hope this helps