`f(x)=x^(2)+3x^(2)-33x-33"for "x gt 0` and g be its inverse such that kg'(2)=1, then the value of k is

Let f(x)=x^(2)-4x-3, x gt2 and g(x) be the inverse of f(x) . Then the value fo (g') , where f(x)=2 , is (here, g' represents the first derivative of g)

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

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

If f(x) = {(kx^(2),"if"x le 2),(3,"if" x gt 2):} is continuous at x = 2, then the value of k is

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 f(x) = {(2x+1,",",x le 1),(-3-kx^(2),",",x gt 1):} is continuous at x = 1, then the value of k is

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

If the function f(x) = {{:((sin(k+1)x + sinx)/x, "when " x lt 0),(1//2, "when " x=0 is),((x+2x^(2))^(1//2)/(2x^(3//2)), " when " x gt 0):} continous at x=0 , then the value of k is-

If |x-2-33x2x|=3, find the values of x