Question

Are f and g inverses of each other? Support your response algebraically

f(x) = x + 1/2

g(x) = 1x - 1/2

Answer 1

see explanation

Explanation:

If f(x) and g(x) are the inverses of each other, then

f(g(x)) = g(f(x)) = x

f(g(x)) = f(x -
`(1)/(2)`) = x -
`(1)/(2)` +
`(1)/(2)` = x

g(f(x)) = g(x +
`(1)/(2)`) = x +
`(1)/(2)` -
`(1)/(2)` = x

Hence f(x) and g(x) are the inverse of each other