Let `f(x)=(x+1)/(2x-1)` and `g(x)=|x|+1` Then the number of elements in the set `{x: f(x)>=g (x)}~ [(1/2, 3/5) uu(3/5, 7/10) uu (7/10 uu 4/5)uu (4/5, 1)]` is

Let f(x)=x+3ln(x-2)&g(x)=x+5ln(x-1) then the set of x satisfying the inequality f'(x)

If g(x)=x^(2)+x+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

If g(x)=x^(2)+x-1 and g(f(x))=4x^(2)-10x+5 then find f((5)/(4))

If A={x:|x|<3} , B={x:|x-5|<=4} then the number of natural numbers in (A uu B) is

Let f(x)=x+3ln(x-2)&g(x)=x+5ln(x-1), then the set of x satisfying the inequality f^(prime)(x)

If f(x) = 2x^(3)+7x-5 and g(x) = f^(-1)(x) , then reciprocal of g^(')(4) is equal to

If f (x) = (3x + 4)/( 5x -7), g (x) = (7x +4)/(5x -3) then f [g(x)]=

If f (x) = (3x + 4)/( 5x -7), g (x) = (7x +4)/(5x -3) then f [g(x)]=

if f(x)=(x -4) (x-5) (x-6) (x-7) then, (A) f'(x) =0 has four roots (B) three roots f'(x) =0 lie in (4,5) uu(5,6) uu(6,7) (C) the equation f'(x) =0 has only one real root. (D) three roots of f'(x) =0 lie in (3,4) uu (4,5) uu (5,6)