If `g(x)` is inverse of `f(x) = { x, x<1; x^2, 1<= x <=4, 8sqrtx, x > 4`.Write the value of `g(9) + g(24)`

Let f(x)=x^(107)+x^(53)+7x+2 . If g(x) is inverse of function f(x) , then the value of f(g'(2)) is

If g is inverse of f(x)=x^(3)+x+cos x, then find the value of g'(1)

If g is inverse of f(x) = x^3 + x + cosx , then find the value of g'(1)

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 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

Let f(x)=x^(3)+3x+2 and g(x) is inverse function of f(x) then the value of g'(6) is

If f(x)=x^(3)+3x+1 and g(x) is the inverse function of f(x), then the value of g'(5) is equal to

If f(x)=x^(3)+3x+1 and g(x) is the inverse function of f(x), then the value of g'(5) is equal to

If f(x)=2x+tan x and g(x) is the inverse of f(x) then value of g'((pi)/(2)+1) is

Let f(x)=int_(0)^(x)(dt)/(sqrt(1+t^(3))) and g(x) be the inverse of f(x) . Then the value of 4 (g''(x))/(g(x)^(2)) is________.