Consider the function `f(x)=(x-3)/(x+1)` defined from `R-{-1}" to "R-{1}`.
Prove that f is one-one .

consider the function f(x)=(x^(2))/(x^(2)-1) If f is defined from R-{-1,1}rarrR_(1) then f is

Consider the function f(x)=x^(3)-8x^(2)+20x-13 The function f(x) defined for R to R

Consider the function f:R -{1} given by f (x)= (2x)/(x-1) Then f'(1) =

A function f: R to R is defined as f(x)=4x-1, x in R, then prove that f is one - one.

Let A=R-{3} and B=R-[1]. Consider the function f:A rarr B defined by f(x)=((x-2)/(x-3)). Show that f is one-one and onto and hence find f^(-1)

Consider the function f (x) and g (x), both defined from R to R f (x) = (x ^(3))/(2 )+1 -x int _(0)^(x) g (t) dt and g (x) =x - int _(0) ^(1) f (t) dt, then The number of points of intersection of f (x) and g (x) is/are:

Let the function f:R to R be defined by f(x)=cos x, AA x in R. Show that f is neither one-one nor onto.

Consider the function f(x)=|x-1|+x^(2) where x in R. Which one of the following statements is correct?

Consider a function f:R rarr R defined by f(x)=x^(3)+4x+5 , then

If R is the set of real numbers and a function f: R to R is defined as f(x)=x^(2), x in R , then prove that f is many-one into function.