If f is given by `f(x)={{:(k^(2)x-k,"if "xge1),(2,"if "xlt1):}` is a continuous function on R, then find k .

If the function f(x) given by f(x)={{:(k^(2)x-k,if, x ge1),(2,if,x le1):} is continuous on R then find the values of K.

Find k if the function is continuous at x=(pi)/(2) if (a) f(x)={{:((k cos x )/(pi-2x),x ne (pi)/(2)),(3,if x=(pi)/(2)):} at x=(pi)/(2) (b) f(x)={{:(kx+1, if x le 2),(cos x,if x gt 2):} at x=2 (c ) if f(x)={{:(k^(2)x-k,if x le 1),(2 , if x lt 1):} is continous on R then find the value (s) of k

If f(x)={(ax+1" if "xge1),(x+2" if "xlt1):} is continuous, then 'a' should be equal to ____

Given that f(x)={(sqrt(x-1), xge1), (4, xlt1)} find f(3)

Given that f(x)={(sqrt(x-1), xge1), (4, xlt1)} find f(0)

Given that the function f defined by f(x)={{:(,2x-1,"if "x gt 2),(,k,"if x=2"),(,x^(2)-1,"if "xlt 2):} is continuous. Then the value of k is

If the function f(x) defined by f(x)={((log(1+ax)-log(1-bx))/(k)", if "x!=0),(" k, if "x=0):} is continuous at x=0 , then find the value of k.