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 agt1 be a real number and f(x)=log_(a)x^(2)" for "xgt 0. If f^(-1) is the inverse function fo f and b and c are real numbers then f^(-1)(b+c) is equal to

Let f(x)=log_(e)x+2x^(3)+3x^(5), where x>0 and g(x) is the inverse function of f(x) , then g'(5) is equal to:

If ef(x)=log x and g(x) is the inverse function of f(x), then g'(x) is

If g(x) is the inverse function of f(x) and f'(x)=(1)/(1+x^(4)) , then g'(x) is

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

Consider a function f(x)=x^(x), AA x in [1, oo) . If g(x) is the inverse function of f(x) , then the value of g'(4) is equal to

Consider the function f(x)=tan^(-1){(3x-2)/(3+2x)}, AA x ge 0. If g(x) is the inverse function of f(x) , then the value of g'((pi)/(4)) is equal to

Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), then g'(3) equals 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