Question

Determine whether the pair of functions and inverse functions f(x)=6x+2 and g(x)=1/6(x-2)

Answer 1

`f(x) = 6x + 2`

`y = 6x + 2`

`x = 6y + 2`

`6y = x - 2`

`y = (1)/(6) (x - 2)`

`{f}^( - 1) (x) = (1)/(6) (x - 2)`

So f(x) and g(x) are inverse functions.