Suppose that there are two functions, f and g.

The domain of f is the interval [-2,10] and the range of f is the interval (-15,2].

The domain of g is the interval (-5,7) and the range of g is the interval [-2,3).

Determine all information that you can about the domains and ranges of:

(a) a(x) = [f(x)]^2.

(b) b(x) = f(x)+g(x).

(c)$c(x) = f(x)( g(x)).

a(x)

domain: same as that of f
range: [0,225)
since (-15,2] = (-15,0]U[0,2]
square those and you have [0,225)U[0,4]

What do you get for b & c?