Question

How do I confirm that f and g are inverses?

Answer 1

see explanation

Explanation:

To show f and g are inverses we require to show that

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

f(g(x))

= f(6x - 4)

=
`(6x-4+4)/(6)` =
`(6x)/(6)` = x

-----------------------------------------------------------------------------

g(f(x))

= g(
`(x+4)/(6)` )

= ( 6 ×
`(x+4)/(6)`) - 4

= x + 4 - 4 = x

-------------------------------------------------

Hence f and g are inverses