Relations and F...

Which of the following options is the only correct combination?

If $$f(x)=(a-x^{n})^{1/n}$$, when $$a > 0$$ and $$n \in N$$, then $$fo\ f(x)$$ is equal to 

Which of the following options is the correct combination?

Which of the following options is the correct combination?

The set of values of 'a' for which the function $$f(x)=(4a-3)(x+ln5)+(a-7)sinx$$ does not posses critical points is _____________________.

Let $$A$$ be set of first ten natural numbers and $$R$$ be a relation on A, defined by $$(x,y)\in R\Rightarrow x+2y=10$$, then domain of $$R$$ is 

Let  $$f ( x )$$  is a function such that  $$f ^ { \prime \prime } ( x )$$  exists and  $$f ^ { \prime } ( x )$$  is not a constant and  $$f ( 1 ) , f ( 2 ), f ( 3 ), f ( 4 ) $$  are in  $$A . P .$$  If domain of  $$f ( x )$$  is  $$[ 1,4 ] ,$$  then -

The function f is not defined for x=0, but for all non zero real number x, f(x) + $$2f(\dfrac{1}{x})$$=3x. The equation 44,
f(x)=f(-x) is satisfied by -

The relation $$R$$ defined on the set $$A=\left\{ 1,2,3,4,5 \right\} $$ by $$R=\left\{ \left( a,b \right) :\left| { a }^{ 2 }-{ b }^{ 2 } \right| <16 \right\} $$, is not given by

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