Question

Let f:(– 1, 1) → B be a function is defined by f(x) = tan^-1(2x/(1 - x²)), then f is one-one and onto, when B is the interval

(a) [0, π/2)

(b) (0, π/2)

(c) (-π/2, π/2)

(d) [- π/2, π/2]

Answer 1

Correct option (c) (-π/2, π/2)

Explanation:

The range of the function f is (-π/2, π/2)

Since the function f is onto, so R_f = C_f = B

Thus, B = (-π/2, π/2)