(a)
\The functions are
and
.
The composition of f with g is
.



.
.
\
The composition of g with f is



.
.
\
Since
, the functions f and g are inverse.
(b)
\The functions are
and
.
=x-5_y=x_g(x)=x+5_1.gif\")
The graphs are reflections of each other in the line y = x.
\The reflective property by testing a few points on each graph.
\If the point (a, b) is on the graph of f, then point (b, a) is lie on the graph of g.
\The points
are lie on the graph of f and those reflective points
are also lie on the graph of g.
Since the graphs of f and g have reflective property, f and g are inverse by graphically.
(a) The functions f and g are inverse.
\(b) The graph of the functions
and
is :
=x-5_y=x_g(x)=x+5_1.gif\")