Which of the following statements is always true ?

Options

A. If f(x) is increasing , then `f^-1(x)` is decreasing.
B. If f(x) is increasing , then `(1)/(f(x)` is also increasing.
C. If f and g are positive functions and f is increasing and g is decreasing , then f/g is a decreasing funiction .
D. If f and g are positive functions and f is decreasing and g is increasing , then f/g is a decreasing funiction .

Answer

D