Let `f(x)=sqrtx and g(x)=x` be two functions defined over the set of non-negative real numbers. Find `(f+g) (x), (f-g), (fg) (x) and (f/g) (x)`.

If f(x)= sqrtx and g(x)= x be two functions defined in the domain R^(+) uu {0} , then find the value of (f+g) (x) .

Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f-g) (x), (fg) (x), (f/g) (x) .

Let F and G be two real-valued function defined on R (the set of all real numbers) F(x)= {:{(,|x+1|,),(,x,):} {:(,xle0,),(,xgt0,):} G(x) = {:{(,|x|+1,),(,-|x-2,):} {:(,xle1,),(,xgt1,):} and H(x)=F(x)+G(x) . Point of discontinuity of H(x) are

Let f and g be real functions defined by f(x)= 2x + 1 and g(x)= 4x- 7 . For what real numbers x, f(x) lt g(x) ?

If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

f(x)= 3x^(2)-1 and g(x)= 3 + x . If f= g then the value of x is…….

f(x)=In" "e^(x), g(x)=e^(Inx) . Identical function or not?

Let f(x)=x/(1+x) and let g(x)=(rx)/(1-x) , Let S be the set off all real numbers r such that f(g(x))=g(f(x)) for infinitely many real number x. The number of elements in set S is

Let f(x) and g(x) be functions which take integers as arguments. Let f(x + y) =f(x)+ g(y) + 8 for all intege x and y. Let f(x) = x for all negative integers x and let g (8) = 17 . Find f(0).

If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to