Home
Class 12
MATHS
Let f:R->[-1,1] and g:R->B, where R be t...

Let `f:R->[-1,1]` and `g:R->B`, where R be the set of all real numbers and `g(x)=sin^(-1)(f(x)/2sqrt(4-f^2(x)))+pi/3`. If `y=f(x)` and `y=g(x)` are both surjective , then set B is given by:

Promotional Banner

Similar Questions

Explore conceptually related problems

Let R be the set of all real numbers f:RrarrR be given by f(x)=3x^2+1 .Then the set f^(-1) , (1,6) is

If f : R rarr [-1,1] and g : R rarr A are two surjective mappings and sin (g(x)- (pi)/(3))= (f(x))/(2) sqrt(4-f^(2)(x)) , then A =

R be set of real numbers the function f:R^()rarr R f(x)=log|x+sqrt(1+x^(2))| then range of f(x) is

Let R be the set of real numbers and f:R rarr R be given by,f(x)=x^(2)+2. Find f^(-1){11,16}

If the function f:R rarr A defined as f(x)=sin^(-1)((x)/(1+x^(2))) is a surjective function, then the set A is

If the function f:R rarr A defined as f(x)=sin^(-1)((x)/(1+x^(2))) is a surjective function, then the set A is

Let RR be the set of all real numbers and f : R to R be given by f(x) = 3 x^(2) +1 then the set f^(-1) ([1,6]) 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