If `f(x)=x^(2)-x^(-2)`, then `f(1/x)` is equal to

If f(x+4) = x^(2) - 1 , then f(x) is equal to

If f:[1, oo) rarr [1, oo) is defined as f(x) = 3^(x(x-2)) then f^(-1)(x) is equal to

If f'(x)=arc tan((x^(x)-x^(-x))/(2)) , then f'(1) is equal to

If f'(x)=sqrt(x) and f(1)=2 then f(x) is equal to

If f(x) = (x-1)/(x+1) , then f(2) is equal to

if f(x) = x-[x], in R, then f^(')(1/2) is equal to

If f(x) = 3x + 1 and g(x) = x^(2) - 1 , then (f + g) (x) is equal to

If f(x)=(2^x+2^(-x))/2 , then f(x+y)f(x-y) is equals to (a) 1/2{f(2x)+f(2y)} (b) 1/2{f(2x)-f(2y)} (c) 1/4{f(2x)+f(2y)} 1/4{f(2x)-f(2y)}

Let f be a differentiable function such that f(1) = 2 and f'(x) = f (x) for all x in R . If h(x)=f(f(x)), then h'(1) is equal to

If f(x)=(x-1)/(x+1) then f(2x) is equal to