Consider the function: `f(x)=m a xdot{1,|x-1|,` min `{4,|3x-1|}}AAx in R` . Then find the value of `f(3)dot`

Consider the function f(x) = |x^(3) + 1| . Then,

If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

If f(x)=min(|x|,1-|x|,(1)/(4))AA x in R, then find the value of int_(-1)^(1)f(x)dx

Let f be a function such that f(3)=1 and f(3x)=x+f(3x-3) for all x. Then find the value of f(300).

Consider the function f(x)=m x^2+(2m-1)x+(m-2) If f(x)>0AAx in R then

Consider the function f(x)=x^(3) . To find the limit as x to 1 .

Consider the function f(x)=min{|x^(2)-4|,|x^(2)-1|} , then the number of points where f(x) is non - differentiable is/are

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) is real valued function such that (f(x-1)+f(x+1))/(2f(x))=sin60^(@),AA x in R then find the value of f(x-1)+f(x+5)