If `f : R rarr R` be given by f(x) = `(3 - x^3)^(1/3)`, then (f o f) (x) is

If f (x) = (x +2)/( 3x -1) , then f {f (x) } is

If f: R rarr R is given by f(x) = (x^2 -4)/(x^2+1) , identify the type of function.

If f : R rarrR be defined by f(x) = 5x - 3, then prove that f is one-one and onto and find a formula for f^(-1)

If f: R rarr R , f(f(x)) = (f(x))^(2) , then f(f(f(x) ))is equal to

Show that the signum function f : R rarr R given by f(x)= {(1,if x gt 0), (0, if x = 0), (-1, if x lt 0) :} is neither one-one nor onto.

Find g o f and f o g , if f: R rarr R and g: R rarr R are given by f (x)=cos x and g(x)=3 x^2 . Show that gof ne f o g .

If the function f :R rarr A given by f(x) = x^2/(x^2+1) is surjection , then find A.