If f(x) is defined as,` f(x)={x if xepsilonQ, 1-x ifx!epsilonQ}` . Then for all x`epsilon`R the composite function` f[f(x)]`

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

Given the function f(x) = 1/( 1-x) , The points of discontinuity of the composite function f[f{f(x)}] are given by

Given the function f(x) = 1/( 1-x) , The points of discontinuity of the composite function f[f{f(x)}] are given by

Let f :R to R be fefined as f(x) = 2x -1 and g : R - {1} to R be defined as g(x) = (x-1/2)/(x-1) Then the composition function ƒ(g(x)) is :

If a function f (x) is given as f (x) =x ^(2) -3x +2 for all x in R, then f (-1)=

If a function f (x) is given as f (x) =x ^(2) -3x +2 for all x in R, then f (-1)=

Let the function f:R to R be defined by f(x)=x+sinx for all x in R. Then f is -

A function f(x) is defined as f(x)={(x^2 -x-6)/(x-3);ifx!=3 and 5ifx=3 Show that f(x) is continuous at x=3.

If f: R to R is defined by f(x) =x-[x] , then the inverse function f^(-1)(x) =