If the function `f(x) ={Ax-B , x leq 1 and 3x,1 < x < 2 and Bx^2-A , x leq 2` be continuous at `x=1` and discontinuous at `x=2`,then

If the function f(x)={Ax-B,x<=1 and 3x,1

If the function f(x) ={(ax-b, x le1),(3x, 1lt x lt 2),(bx^(2)-a, x ge 2):} is continuous at x =1 and discontinuous at x =2, then

If the function f(x)= {(3ax +b", " x gt 1 ),(11 ", "x=1),(5 ax-2b", " x lt 1):} continuous at x= 1 then ( a, b) =?

If the function f(x)= {(3ax +b", " x gt 1 ),(11 ", "x=1),(5 ax-2b", " x lt 1):} continuous at x= 1 then ( a, b) =?

If the function f(x) = {(a+bx",", x lt 1), (5",", x=1), (b-ax",", x gt 1):} is continuous, then what is the value of (a+b) ?

If the function f(x) = {:{(3ax + b, if x > 1),(11, if x = 1),(5ax - 2b, if x < 1):} is continuous at x = 1, find the values of a,b.

Consider the function f(x) =[(1-x,0 leq x leq 1),(x+ 2, 1 lt x lt 2),(4-x,2 leqxleq4)). Let lim_(x->1) f(f(x))= l and lim_(x->1) f(f(x))=m then which one of the following hold good ? (A) l exist but m does not (B) m exist but l does not (C) both exist (D) both does not exist

If x = 1 is a critical point of the function f(x) = (3x^2 + ax -2 - a) e^x , then :

Find "a" and "b" such that the function f(x)={3ax+b, if x>1 11 if x=1 is continuous. 5ax-2b, if x<1