Functions Question 492
Question: Let $ f:R\to R $ be function defined by $ f(x)=sin(2x-3), $ then f is
Options:
A) Injective
B) surjective
C) bijective
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
[d] Since $ \sin (2x-3) $ is a periodic function with period $ \pi , $ therefore f is to injective. Also, f is not subjective as its range $ [-1,1] $ is a proper subset of its co-domain R.