Let `g(x)` be the inverse of the function `f(x)=ln x^(2),x>0`. If `a,b,c in R` ,then `g(a+b+c)` is equal to

Let g(x) be the inverse of the function f(x) ,and f'(x) 1/(1+ x^(3)) then g(x) equals

Let g(x) be the inverse of the function f(x) and f'(x)=(1)/(1+x^(3)) then g'(x) equals

Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(2)=a then g'(2) is equal to

If g is the inverse function of f an f'(x)=(x^(5))/(1+x^(4)). If g(2)=a, then f'(2) is equal to

Let g(x) be the inverse of an invertible function f(x), which is differentiable for all x, then g'f(x) is equal to

Let f(x)=log_(2)x^(4) for x>0 ,If g(x) is the inverse function of f(x) and b and c are real numbers then g(b+c) is equal to .

Let g(x) be the inverse of an invertible function f(x) which is differentiable at x=c . Then g'(f(x)) equal.(a) f'(c)( b) (1)/(f'(c)) (c) f(c) (d) none of these

If g is the inverse of a function f and f'(x) = 1/(1+x^(5)) , then g'(x) is equal to