Time complexity to check if an edge exists between two vertices would be __________.

Let $f:R\to R:f(x)=\frac{x}{c},$where c is constant.
Find $(c^{2}f)(x)$

Let $f:R\to R:f(x)=\frac{x}{c},$where $c$ is constant.
Find $(cf)(x)$.

The complete set of values of $x$ for which the function $f(x)=2{\tan }^{-1}x+{\sin }^{-1}\frac{2x}{1+x^2}$ behaves like a constant function with positive output is equal to

If  $f\left(\frac{x+y}{2}\right)=\frac{f(x)+f(y)}{2}$  for all  $x,y\in R$  and  $f^{\prime }(o)=-1,f(o)=1$  then  $f(2)=$

If $fxln\left(1+\frac{1}{x}\right)dx=p(x)ln\left(1+\frac{1}{x}\right)+\frac{1}{2}x-\frac{1}{2}ln(1+x)+c$, being arbitary costant, then

For  a real number y, let [y] denotes the greatest integer less than or equal to y. Then the function
$f(x)=\frac{tan(\pi \left[x-\pi \right])}{1+[x{]}^2}$ is

Let $f:R\to R:f(x)=\frac{x}{c},$where $c$ is constant.
Find $\left(\frac{1}{cf}\right)(x)$

On differentiating an identity function, we get?

The graph of a constant function $f(x)=k$ is?