Find the inverse of the following function. g(x)= 1/x - 4

Question

Show all steps.
A. g^-1(x)= - 2/x-1
B. g^-1(x)= 1/x+4**
C. g^-1(x)= 1/x+ 2
D. g^-1(x)= 2/x+1

I have the answer, but not the steps.

Answer 1

B. g^-1(x)= 1/x+4

Answer 2

Hi

Answer 3

that would be 1/(x+4)
Parentheses matter

change variables:
x = 1/y - 4
solve for the new y:
x+4 = 1/y
y = 1/(x+4)