[" (Where "a<1)" is "],[" Let "f(x)=30-2x-x^(3)" ,then find the number of positive integral values of "'x" ' which satisfies "f(f(f(x)))>],[f(f(-x))" ."]

If f(x)={:{ (x-2 ,x 0) :} ,then number of points, where y=f(f(x)) is discontinuous is

If f (x)= [{:(x,,, "if x is rational"), (1-x,,," if x is irrational "):}, then number of points for x in R, where y =f (f (x)) discontinous is:

If f (x)= [{:(x,,, "if x is rational"), (1-x,,," if x is irrational "):}, then number of points for x in R, where y =f (f (x)) discontinous is:

Find Lt_(xto0)f(x) where f(x)=f(x)={{:(x-1" if "xlt1),(0" if "x=0),(x+1" if "xgt0):}

If x+2|y|=3y where y=f(x) ,then f(x) is

If f''(x) = (2x)/((1+x^(2))^(2)) where f'(x)=1, f(x)=2 when x=0, when the value of f(x) is -

Let f(x) be twice differentiablesuchthat f''(x)=-f(x),f'(x)=g(x), where f'(x) and f''(x) represent the first and second derivatives of f(x), respectively.Also if h(x)=(f(x))^(2)+(g(x))^(2) and h(5)=5 then h(10) is equal to

Show that maximum or minimum of f(x) is a minimum or maximum of 1/f(x) , where f(x) and 1/f(x) are well defined.