If two real functions `f` and `g` such that `f(x)=x^(2)` and `g(x)=[x]`, then the value of `f(-2)+g(-1/2)` is

If f(x)=x^(2)g (x) and g(1)=6, g'(x) 3 , find the value of f' (1).

If function f(x)=x^(2)+e^(x//2) " and " g(x)=f^(-1)(x) , then the value of g'(x) is

Let f and g be two real valued functions ,defined by f(x) =x ,g(x)=[x]. Then find the value of f+g

If the function _(x)f(x)=x^(3)+e^((x)/(2)) and g(x)=f^(-1)(x), then the value of g'(1) is

If f(x) and g(x) are two real functions such that f(x)+g(x)=e^(x) and f(x)-g(x)=e^(-x) , then

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1+x) then (1) g(x) is an odd function (2)g(x) is an even function (3) graph of f(x) is symmetrical about the line x=1 (4) f'(1)=0

If f(x) = x^(2) and g(x) = (1)/(x^(3)) . Then the value of (f(x)+g(x))/(f(-x)-g(-x)) at x = 2 is

Let R be the set of real numbers and the functions f:R rarr R and g:R rarr R be defined by f(x)=x^(2)+2x-3 and g(x)=x+1 Then the value of x for which f(g(x))=g(f(x)) is

If the function f(x) = 2+x^2-e^x and g(x) = f^(-1)(x) , then the value of |g^'(1)|/4 equals