Horizontal Translation and dialation Problem : let f, g, and h be defined f(x)= x2 -2< or equal to x < or equal to 2
g(x)=x-3 for all real valuse of x
h(x) = 1/2 x for all real values of x
a. f(g(x))= f(x-3). What transformatioon is applied to function f by composing it with g?
b. f(h(x))= f(1/2x). What tranformation is applied to function f by composing it with h?
c. Plot the graphs f, fog and foh. Sketch the results. Do the graphs confirm your conclusions in part a and b