[" Let "f(x)={[ax+1,,x<1],[3,,quad x=1" .The value of 'a' and "b" ' for which "f(x)" is continuous at "x=1" ,is given by "],[bx^(2)+1,,x>1]]

Let f(x)={ax^(2)+1,x>1x+(1)/(2),x<=1. then ,f(x) is derivable at x=1, if a=2( b) a=1( c) a=0 (d) a=(1)/(2)

Let f(x) = {(ax+1, x lt 1), (3, x=1), (bx^2+1, x gt 1):} . For what values of a and b is f(x) continuous at x = 1 ?

Let f(x)={ax+b if x>1,3bx-2a+1 if x<1 Find a relation between a and b so that lim_(x rarr1)f(x) exists.

Let f(x)={{:(x+1,","x le 1),(3-ax^2,","x gt 1):} The value of a so that f is continuous is

Let f (x)= {{:(ax (x-1)+b,,, x lt 1),( x+2,,, 1 le x le 3),(px ^(2) +qx +2,,, x gt 3):} is continous AA x in R except x =1 but |f (x)| is differentiable everywhere and f '(x) is continous at x=3 and |a+p+q|=k, then k=

Let f(x)={{:(a+bx","xlt1),(4","x=1),(b-ax","xgt1):} and if lim_(xto1)f(x)=f(1) what are the possible values of a and b

Let f(x)=(ax)/(x+1), x ne1 , then the value of 'a' for which f[f(x)]=x is

Let f(x)=(ax)/(x-1),x ne-1 .If 10f(x)=x, find the value of a.