Let `f:toRtoR:f(x)=x^(2)andg:CtoC:g(x)=x^(2)`, where C is the set of all complex numbers.
Show that `fne""g`.

Let f:ZtoZ:f(x)=x^(2)andg:ZtoZ:g(x)=|x|^(2)" for all "x""inZ . Show that f=g.

If a function f:CtoC is defined by f(x)=3x^(2)-1 , where C is the set of complex numbers, then the pre-images of -28 are

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)=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)=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)=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)=(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:RtoR:f(x)=x+2andg:R-|2|toR:g(x)=(x^(2)-4)/(x-2) Show that fne""g . Re-define f and g such that f=g.

If f: R to C is defined by f(x) =e^(2ix) AA x in R , then f is (where C denotes the set of all complex numbers)