Let f : R (\rightarrow) R be function defined by f(x) = sin... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

Let f : R $\rightarrow$ R be function defined by f(x) = sin (2x -3), then f is

A

injective

B

surjective

C

bijective

D

None of these

Answer

None of these

Explanation

Solution

Since sin (2x - 3) is a periodic function with period $\pi$ , therefore f is not injective. Also, f is not surjective as its range [-1, 1] is a proper subset of its co-domain R.