Embibe Experts Solutions for Exercise 3: EXERCISE 1.3

If $f\left(x\right)=e^{2x}$ and $g\left(x\right)=\log \sqrt{x}, \left(x>0\right)$, then $fog\left(x\right)$ is equal to

If $f\left(x\right)=\frac{x}{\sqrt{1+x^2}}$ , then $\left(fofof\right)\left(x\right)=$

If $g\left(x\right)=x^2+x-2$and $\frac{1}{2}g\left(f\right(x\left)\right)=2x^2-5x+2$, then $f\left(x\right)$ can be

The inverse of the function $f\left(x\right)=\frac{{10}^x-{10}^{-x}}{{10}^x+{10}^{-x}}$ is

If a function $f:[1,\infty )\to [1,\infty )$ is defined by $f\left(x\right)=x^2-2x+2$, then $f^{-1}\left(x\right)$ is

Let $f\left(x\right)=\sin x+\cos x, g\left(x\right)=x^2-1.$ Thus $g(f(x))$ is invertible for $x\in$

Which of the following function is even function

The function $f\left(x\right)=\sin \left(\log \left(x+\sqrt{x^2+1} \right)\right)$ is