Plot `y=|x|-2` and hence `f(x)=(1)/(|x|-2)`

Plot y=|x| and y=|x-2|

Plot y=|x| and y=|x+2|

Plot y=|x| and y=|x|+2.

Plot y=|x| and y=|x|-2.

Plot y=x+sinx.

Let A =R- {2} and B=R - {1}. If f ArarrB is a function defined by f(x) = (x-1)/(x-2) , show that f is one -one and onto, hence find f^(-1)

Plot the following. f(x)=sin^(-1)(sin|x|)

Plot y=e^(x),y=e^(x)+1 and y=e^(x)-1.

Let A = R- {3} and B = R- {1}. If f: ArarrB is a function defined by f(x)= (x-2)/(x-3) show that f is one -one and onto, hence find f^(-1) .

Find the area bounded by y=f(x) and the curve y=2/(1+x^2) satisfying the condition f(x),f(y)=f(xy) AA x,y in R and f'(1)=2,f(t)=1 ,