Let `f` be a composite function.of `x` defined by `f(u)=(1)/(u^(3)-6u^(2)+11u-6)` where `u(x)=(1)/(x)`.Then the number of points `x` where `f` is discontinuous is

Find the points of discontinuity of y = (1)/(u^(2) + u -2) , where u = (1)/(x -1)

Let f be continuous and the function g is defined as g(x)=int_0^x(t^2int_1^t f(u)du)dt where f(1) = 3 . then the value of g' (1) +g''(1) is

Let f:[-1,1] to R_(f) be a function defined by f(x)=(x)/(x+2) . Show that f is invertible.

Let a function f: [0,5] rarr R be continuous , f(1) =3 and F be definded as : F(x)=int_(1)^(x)t^2 g(t)dt, where g(t) = int_(1)^(t)f(u)du. Then for the function F, the point x=1 is

Discuss the continuity for f(x) = (1 - u^(2))/(2 + u^(2)) , where u = tan x.

Let g(x) = f(f(x)) where f(x) = { 1 + x ; 0 <=x<=2} and f(x) = {3 - x; 2 < x <= 3} then the number of points of discontinuity of g(x) in [0,3] is :

Let f:(6, 8)rarr (9, 11) be a function defined as f(x)=x+[(x)/(2)] (where [.] denotes the greatest integer function), then f^(-1)(x) is equal to

Let f(x)=[x^3 - 3] , where [.] is the greatest integer function, then the number of points in the interval (1,2) where function is discontinuous is (A) 4 (B) 5 (C) 6 (D) 7

Let f(x) ={{:( [x],-2le xle -(1)/(2) ),( 2x^(2)-1,-(1)/(2)lt xle2):}and g(x) =f(|x|)+|f(x)|, where [.] represents the greatest integer function . the number of point where g(x) is discontinuous is

Given f(x)=1/(x-1) . Find the points of discontinuity of the composite function f(f(x)) .