Let `f:R-> R` be defined by `f(x) = x^3 + 3x + 1 and g` be the inverse of `f`. Then the value of `g'(5)` is equal to

Let f:R rarr R be defined by f(x)=x^(3)+3x+1 and g be the inverse of f .Then the value of g'(5) is equal to

Let f: R rarr R defined by f(x)=x^(3)+3x+1 and g is the inverse of 'f' then the value of g'(5) is equal to

consider f:R rarr R,f(x)=e^(x-1)+x^(3)+x and g be the inverse of f

Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(x)=x+5 . Then , (gof)(x) is equal to -

Let f:R rarr R defined by f(x)=x^(3)+e^(x/2) and let g(x)=f^(-1)(x) then the value of g'(1) is

Let f:R rarr R be defined asble f(x)=int_(0)^(x)(sin^(2)t+1)dt and g is the inverse function of f, than g'((3 pi)/(4)) is equal to

Let f:R rarr R defined by f(x)=x^(3)+e^((x/2)) and let g(x)=f^(-1)(x) then the value of g'(1) is

If f:R rarr R and g : R rarr R are defined by f(x) = 3x + 2 and g(x) = x^2 - 3 , then the value of x such that g(f(x))=4 are