$f(x)=x^{2}+3 x$ হলে (fof)(5) নির্ণয় কর।

If $A$ and $B$ have $n$ elements in common, then the number of elements common to $A\times B$ and $B\times A$ is

If  $g(f(x))= |\sin x|$  and  $g(f(x))= \sin ^2 \sqrt{x},$  then-

$f{\left ( x \right )} = x^{4} – x^{2} + \frac{1}{4}$ এবং $g{\left ( x \right )} = \sqrt{x + 1}$ হলে fog(x) =  কত?

A function $f : R \rightarrow R$ satisfies x cos y (f (2x+2y)-f(2x-2y))=cos x sin y (f(2x+2y)+f(2x-2y)). If $f'(0)=\dfrac{1}{2}$, then-