Is This Correct?

A. Use composition to prove whether or not the functions are inverses of each other.
B. Express the domain of the compositions using interval notation.

My Answer:
A.f(x)=1/x-4         g(x)=4x+1/x
    f(2)=1/2-4         g(-.5)=(4*-.5)+1/-.5
    f(2)=1/-2           g(-.5)=-1/-.5
    =-.5                   =2
The functions are inverses of eachother.

B. The interval notation is (-.5,2).

Question

Is This Correct? 

A. Use composition to prove whether or not the functions are inverses of each other. 
B. Express the domain of the compositions using interval notation. 

My Answer:
A.f(x)=1/x-4         g(x)=4x+1/x
​    f(2)=1/2-4         g(-.5)=(4*-.5)+1/-.5
​    f(2)=1/-2           g(-.5)=-1/-.5
​    =-.5                   =2
The functions are inverses of eachother.

B. The interval notation is (-.5,2).

belban · Answer

I think I am wrong on b but I am not sure.