Given `g(x)=(x+2)/(x-1)` and the line `3x+y-10=0.` Then the line is tangent to `g(x)` (b) normal to `g(x)` chord of `g(x)` (d) none of these

Let f(x)=x^(3)+x+1 and let g(x) be its inverse function then equation of the tangent to y=g(x) at x = 3 is

If f(x)=|x-3| and g(x)= fof (x), then for x>10,g'(x) is equal to (a)1(b)-1(c)0 (d) none of these

If g is the inverse function of fandf'(x)=sin x, theng '(x) is (a) cos ec{g(x)}(b)sin{g(x)}(c)-(1)/(sin{g(x)}) (d) none of these

If f(x) and g(x) be continuous functions in [0,a] such that f(x)=f(a-x),g(x)+g(a-x)=2 and int_0^a f(x)dx=k , then int_0^a f(x)g(x)dx= (A) 0 (B) k (C) 2k (D) none of these

If g(x)=int_(0)^(x)(|sin t|+|cos t|)dt, then g(x+(pi n)/(2)) is equal to,where n in N,g(x)+g(pi)(b)g(x)+g((n pi)/(n2))g(x)+g((pi)/(2)) (d) none of these

If f(x)=x+ tan x and f is the inverse of g then g'(x) equals (a) (1)/(1+[g(x)-x]^(2))(b)(1)/(2-[g(x)-x]^(2))(c)(1)/(2+[g(x)-x]^(2))(d) none of these

Let g(x) be the inverse of f(x) and f'(x)=(1)/(3+x^(4)) and g'(x) in terms of g(x) is a+(g(x))^(b), then

If f(x) = x^(2) and g(x) = (1)/(x^(3)) . Then the value of (f(x)+g(x))/(f(-x)-g(-x)) at x = 2 is