The function $f(x)=\frac{e^{|x|}-e^{-x}}{e^x+e^{-x}}+\cos ^3\left(\frac{x}{2}\right)$ from $R$ to itself is

The function $f(x)=\frac{e^{|x|}-e^{-x}}{e^x+e^{-x}}+\cos ^3\left(\frac{x}{2}\right)$ from $R$ to itself is
  1. An injective function
  2. A surjective function
  3. An even function
  4. Not bijective

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2020 (07 Oct Special)

Practice more Functions questions on Aicharya