The function `f:[-1//2,\ 1//2]->[-pi//2,pi//2\ ]` defined by `f(x)=sin^(-1)(3x-4x^3)` is (a) bijection (b) injection but not a surjection (c) surjection but not an injection (d) neither an injection nor a surjection

Explanation

Given,`f(x)=sin^(−1)(3x−4x^3)`

or,

`f(x)=3sin^(−1)x`


For one−one :

Let `x_1`​ and `x_2`​ be two elements
in the domain `[−1/2​,1​/2]` such that

`f(x_1​)=f(x_2​)`

`⇒ 3sin^(−1)x_1=3sin^(−1)x_2​`

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