Let f and g be the functions given by f(x) = x^2 and g(x) = x|x|.
a. f(1/3) =
b. g(4) =
c. g(–√3)
d. What is the domain of f?
e. What is the range of g?
f. Evaluate f(-67) + g(-67)
a f (1/3) = (1/3)^2 = 1/9
b g (4) = 4 l 4 l = 4 * 4 = 16
c g ( -√3) = (-√3) l -√3 l = ( -√3 ) √3 = - √9 = -3
d The domain is all real numbers
e The range is all real numbers
f f(-67) + g(-67) =
(-67)^2 + -67 l -67 l =
67^2 - 67 (67) =
67^2 - 67^2 =
0