If `f: X rarr [1,oo)` is a function defined as `f(x) = 1+3x^3 ` find the superset of all the sets X such that f(x) is one - one

If f:RtoR is a function defined by f(x)=3x-2 Show that f is one-one.

Let A be the set of all 50 students of class X in a school. Let f : A rarr N be function defined by f(x) = roll numbers of the student x. Show that f is one-one but not onto

If f: R rarr R be a function defined by f(x)=4 x^3-7 , show that the function f is a bijective function.

Let f: R rarr R be a function defined by f(x)=x^2-3 x+2 Find f^' (2) and f^'(6)

If f : R rarr S , defined f(x) = sin x - sqrt3cos x+1 is onto , then find the set S

f : R - {(-4)/3} rarr R be a function defined as f(x) = (4x)/(3x +4) . The inverse of f is the map g : Range f rarr R - {(-4)/3} given by

Draw the graph of the function f: R rarr R defined by f(x)=x^3, x in R .

A fuction f:RrarrR defined by f(x)=(2x-3)/7 . Find f^-1

If f:RrarrR is defined by f(x) = x^2-3x+2 , find f(f(x))