If `f(x) = (100^5 - x^10)^(1/10)`, then find the value of `1/2^3 (f(f(8)))`

If f(x) = x^5 - 1/x^5 then find the value of f(x) + f(1/x)

If f(x)=x^(n)&f'(1)=10, find the value of n.

If f(x)=x^(3) , find the value of ({f(5)-f(1)})/((5-1))

If f is real valued function such that f(x+y) = f(x) + f(y) and f(1) = 5 , then find the value of f(100)

If f(x) = ax^(2) + bx + x and f(2) = 1, f(3) = 6, f(-1) = 10, then find the value of f'(1).

If f(x)=ax^2+bx+c and f(2)=1,f(3)=6,f(-1)=10,then find the value of f(1).

Let f(x) be a function satisying f(x) = f((100)/(x)) AA x ge 0 . If int_(1)^(10) (f(x))/(x) dx = 5 then find the value of int_(1)^(100)(f(x))/(x) dx .

Let f(x)=(ax)/(x-1),x ne-1 .If 10f(x)=x, find the value of a.