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.

If f'(x)=x-(1)/(x^(2)) and f(1)=(1)/(2) then find f(x).

Let f(x)=x^(2)-2x and g(x)=f(f(x)-1)+f(5-f(x)), then

f(x)= (1)/((x-1) (x-2)) and g(x)= (1)/(x^(2)) . Find the points of discontinuity of the composite function f(g(x))?

A function y = f(x) satisfies the condition f(x+(1)/x) =x^(2)+1/(x^2)(x ne 0) then f(x) = ........

If y=f(x) is a curve and if there exists two points A(x_(1),f(x_(1)) and B(x_(2),f(x_(2)) on it such that f'(x_(1))=-(1)/(f'(x_(2)))=(f(x_(2))-f(x_(1)))/(x_(2)-x_(1)) , then the tangent at x_(1) is normal at x_(2) for that curve. Now, anwer the following questions. Number of such lines on the curve y=|lnx|, is