Determine if the two functions are inverses of one another S

Determine if the two functions are inverses of one another.

Solution

if f(x)and g(x) are inverses of onew another then (fog)(x) =x and (gof)(x) =x

(fog)(x)

=f(g(x))

=3[(x-2)/3] +2

=(x-2)+2

=x

(gof)(x)

=g(f(x))

=[(3x+2)-2]/3

=3x/3

=x

(fog)(x) =x and (gof)(x) =x, therefore two functions are inverses of one another