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.

A function is defined by f(x)=2x-3 Find x such that f(x)=x .

A function is defined by f(x)=2x-3 Find x such that f(x)=0.

A function is defined by f(x)=2x-3 Find x such that f(x)=f(1-x) .

A function is defined by f(x)=2x-3 Find (f(0)+f(1))/(2) .

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

Let f be function f:N to N be defined by f(x)=3x+2, xin N . Find the images of 1, 2, 3

If f: Rrarr[0,oo) is a function such that f(x-1)+f(x+1)=sqrt(3)f(x), then prove that f(x) is periodic and find its period.

Show that the function f:N to N defined by f(x)=2x-1 is one-one but not onto.