Let `f(x)={x^2-4x+3, ,x<3; x-4,xgeq3 a n d g(x)={x-3,x<4; x^2+2x+2,xgeq4` Describe the function `f/g` and find its domain.

Let f(x)=sqrt(x^(2)-4x) and g(x) = 3x . The sum of all values for which f(x) = g(x) is

Let f(x)=x^3-3x^2+ 3x + 4 , comment on the monotonic behaviour of f(x) at x=0 x=1

Let f (x) =||x^(2)-4x+3|-2|. Which of the following is/are correct ?

Let f(x) = x - [x] , x in R then f(1/2) is

Let f(x)={:{(x^(2)+4x",",-3lexle0),(-sinx",",0ltxle(pi)/(2)),(-cosx-1",",(pi)/(2)ltxlepi):} then

Find f ' (x) if f(x)=2x^3-5x^2-4x+3 ,

Let f(x)=x^4-x^3 then find f '(2)

Let f(x)=x^3-6x^2+12x-3 . Then at x=2 f(x) has

Let f(x)=|x^2-3x-4|,-1lt=xlt=4 Then f(x) is monotonically increasing in [-1,3/2] f(x) monotonically decreasing in (3/2,4) the maximum value of f(x)i s(25)/4 the minimum value of f(x) is 0

Let f(x)={{:(5x-4",",0ltxle1),(4x^(3)-3x",",1ltxlt2.):} Find lim_(xto1)f(x).