Q33Multiple correct5 Marks20 Nov 2022

Choose the set of correct options.

A

The function $f:\mathbb{R}\to\mathbb{R}$ such that $f(x)=x+\sqrt{x^2}$ is not onto.

B

The function $f(x)=x^2-2x+3$ is increasing.

C

The function $f(x)=\frac{(1+3^x)^2}{3^x}$ is odd.

D

If $f$ is an invertible decreasing function, then $f^{-1}$ is also a decreasing function.