How do I confirm that f and g are inverses?

Question

asked Mar 26, 2020 227k views

1 Answer

Shea Brennan · Answer 1 · 2020-03-30T12:32:05+0000

Answer:

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