Question

Determine g-1(x) of the function g(x) = 1/2x + 6
where x≠ -3.

Answer 1

i got 4.5

Answer 2

if by g-1(x), you mean 'inverse of g' which is g^(-1) (x):
switch the positions of y and x

from the original equation:
y = (1/2)x + 6

switch:
x = (1/2)y + 6

solve for y which is also the inverse of g(x)
x - 6 = (1/2)y
2x - 3 = y
g^(-1)(x) = 2x - 3