Find the value of k, so that the function `f(x) = {(kx^2 + 5, if x le 1), (2, if x gt 1):}` is continuous at `x = 1`

Find the value of k so that the function: f(x) = [{:(kx + 1, if x le 5),(3x-5, if x gt 5):}] at x=5 is a continous function:

Find the value of k, so that the function defined by f(x)={(kx+1", if "xlepi),(cosx", if "xgtpi):} is continuous at x=pi .

Determine the value of the constant k so that the function f(x) = {:{(kx+1, if xle 5),(3x-5, if x>5):} is continuous at x = 5.

Find the value of k so that the function f(x) = {:{(kx + 5, x le 2),(x-1,x>2):} may be continuous.

Determine the value of the constant k so that the function f(x) = {:{(kx+1, if x le pi),(cosx, if x > pi):} is continuous at x = pi .

Find the value of K so that the function f(x) = {{:(kx+1,"if"x le 5),(3x-5,"if"x ge5):} at x=5 is a continuous function.

Find the value of k if f(x)= {(kx^(2),if x le 2),(3, if x gt2):} is continuous at x=2