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Let f (x) = sin ((pi)/(6) sin ((pi)/(2) ...

Let f (x) = `sin ((pi)/(6) sin ((pi)/(2) sin x ))` for all x` in R` and `g(x) = (pi)/(2)` sin x for all ` x in R` . Let (fog) (x) denote f(g(x)) and (gof) (x) denote `g (f(x))` . Then which of the following is (are ) true ?

A

f(x) is an odd function

B

f(x) is an one-one function

C

f(x) is an onto function

D

f(x) is an even function

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
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