Let `A={x in R:- 1 <= x <= 1}=B and C={x in R: x >= 0}and` let `S={(x,y)in A xx B: x^2+y^2=1} and S_0={(x,y)in A xx C: x^2+y^2=1}.` The (A) S defines a function from A to B (B) `S_0` defines a function from A to C (C) `S_0` defines a function from A to B (D) S defines a function from A to C

Let A={x in R :-1lt=xlt=1}=B and C={x in R : xgeq0} and let S={(x ,\ y) in AxxB : x^2+y^2=1} and S_0={(x ,\ y) in AxxC : x^2+y^2=1}dot Then S defines a function from A to B (b) S_0 defines a function from A to C (c) S_0 defines a function from A to B (d) S defines a function from A to C

Let A = {1, 2, 3}, B = {a, b, c}, C {a_(1), b_(1), c_(1), d_(1), e_(1)} and consider the following statements. S_(1) : The number of one-one functions from A to C is 60. S_(2) : The number of onto functions from C to A is 150 S_(3) : The number of onto functions from B to C is 0 S_(4) : The number of objective functions from A to B is 6 Which of the following combination is true ?

Let A = {1, 2, 3}, B = {a, b, c}, C {a_(1), b_(1), c_(1), d_(1), e_(1)} and consider the following statements. S_(1) : The number of one-one functions from A to C is 60. S_(2) : The number of onto functions from C to A is 150 S_(3) : The number of onto functions from B to C is 0 S_(4) : The number of objective functions from A to B is 6 Which of the following combination is true ?

Let x = (a,b,c) and Y = (0,1,2,3,4,5), define a one-one function from X to Y. does there exist an onto function form X to Y? If not, give reason.

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a function of x only (c) a function of y only (d) a function of x and y

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a function of x only (c) a function of y only (d) a function of x and y

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a function of x only (c) a function of y only (d) a function of x and y

Let A, B, C in N and a function f:A to B be defined by f(x)=2x+1 and g: B to C be defined by g(x)=x^(2) . Find the range of fog and gof.