If `f(x)=(5x+3)/(6x-a)` and `f(f(x))=x` then value of a is

For all values of x and y, if f(x+y)=f(x).f(y),f(5)=2 and f'(0)=3 the value of f'(5) is: (i)5(ii)6(iii)2(iv)0

If f(x) = (x + 1)/(x-1) , then the value of f{f(3)} is :

If the functions f(x)=x^(5)+e^(x//3) " and " g(x)=f^(-1)(x) , the value of g'(1) is ………… .

Let f(x) be a polynomial satisfying lim_(xtooo) (x^(2)f(x))/(2x^(5)+3)=6" and "f(1)=3,f(3)=7" and "f(5)=11. Then The value of f(0) is

If f(x) = (x - 1)(x - 2)(x - 3)(x - 4)(x - 5) , then the value of f' (5) is equal to

If function f satisfies the relation f(x)*f'(-x)=f(-x)*f'(x) for all x and f(0)=3, and if f(3)=3, then the value of f(-3) is

If f(x) = int(5x^(8)+7x^(6))/((x^(2)+1+2x^(7))^(2))dx, (x ge 0) , and f(0) = 0, then the value of f(1) is

If f(x)=(3x+2)/(5x-3) , then f[f(x)] is equal to: