Let `f(x)={x^2-4x+3, ,x<3x-4,xgeq3a n dg(x)={x-3,x<4x^2+2x+2,xgeq4` Describe the function `f/g` and find its domain.

Let f(x)={{:(x^2+4x "," -3 le x le 0),(-sin x ","0 lt x le pi//2 ),(-cos x -1 "," pi//2 lt x le pi):} which one of the following is not true ?

Let f(x)=x^(2)-3x+4;x =3 Let g(x)=x+6;x =4 then which of the following are true

Let f(x)=|x^(2)-4x+3|ln x+2(x-2)^((1)/(3))x>0h(x)=x-1;x in Q;x^(2)-x-2;x neg in Qf(x) is non differentiable at points and the sum of corresponding x value(s) is

Let f(x)=x^(2)-4x+7 1. Find the instantaneous rate of change of f at x = 3. 2. Find the average rate of change of f with respect to x between x = 3 and 5.

Let f(x)=x^(2)+4x+1 , then

Let f(x)={x^(2) if 1 4

Let f(x)=1-x-4x^(3),f:R rarr R then find the number of integrality satisfying the inequality 4f(x)^(3)+f(1-2x)+f(x)<1