let `f(x) = {2,x in Q), (-2, x !in Q) ` , then

Let f(x)= {(1, x in Q), (0, x in R-Q):} and g(x)= {(1, x in R-Q), (0, x in Q):} , find (f+g)(x) and (fg)(x).

Let f(x)={(x^3+2x^2,x in Q),(-x^3+2x^2+ax, x !in Q)) , then the integral value of 'a' so that f(x) is differentiable at x=1 is

Let A={x in R :0lt=xlt=1}dot If f: AvecA is defined by f(x)={x ,ifx in Q, 1-x ,ifx notin Q then prove that fof(x)=x for all x in Adot

A function f(x) defined as f(x)={2x if x in Q,x^(2)+5 if x in Q' then the product of the pre-images of 8 and 14, is

Let A={x in R :0lt=xlt=1}dot If f: A->A is defined by f(x)={(x ,, if x in Q) , (1-x ,, if x!in Q):} then prove that fof(x)=x for all x in Adot

Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not continuous at any x

Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not continuous at any xdot

Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not continuous at any xdot

Find the value of a for which f(x)={x^2,x in Q x+a ,x !in Q is not continuous at any xdot