Which of the following functions does not have an inverse function?
(A)
(B) y = x^3 + 2
(C)
(D)
(E) y = ln (x − 2) (where x >2)
Suppose that f (x) = ln x for all positive x and g(x) = 9 − x^2 for all real x. The domain of f
(g(x)) is
(A) {x | x 3}
(B) {x | |x| 3}
(C) {x | |x| > 3}
(D) {x | |x| < 3}
(E) {x | 0 < x < 3}
Suppose (as in Question 29) that f (x) = ln x for all positive x and g(x) = 9 − x^2 for all real x.
The range of y = f (g(x)) is
(A) {y | y > 0}
(B) {y | 0 < y ln 9}
(C) {y | y ln 9}
(D) {y | y < 0}
(E) none of these
The curve defined parametrically by x(t) = t^2 + 3 and y(t) = t^2 + 4 is part of a(n)
(A) line
(B) circle
(C) parabola
(D) ellipse
(E) hyperbola
