Let `f(x)={(1,x<(1),(ax+b,3

Let f(x)={{:(1-5x",","if ",xlt-2),(x^(2)-2x",","if ",-2lexle1),(-1+2x",","if ",xgt1):} Then the value of f(-1) is equal to

(a)Let f(x)={(x,if x is an integer),(0,if x is not an integer)) .Show that underset (x rarr 1)Lt f(x)=0 .

Let f(x)={{:(x^(2)",","for ",xle1),(1",","for ",1ltxle3),(5-2x",","for ",xgt3):} Then f'(6) is equal to

Let f(x)=x(x-1)(x-2) , x in [0,2] Find f(0) and f(2)

Let f(x)=x(x-1)(x-2) , x in [0,2] Find f^'(x)

Let f(x) = (x+1)^2 -1, x ge -1 ). Then the set {x: f(x) = f^(-1) (x)} is

Let f(x) = {{:(1+|x|, x lt -1),([x],x ge -1):} where [.] denote the greatest integer function . Then find the value of f{f(-2.3)}