If the function, `g(x)={ksqrt(x+1),0lt=x lt= 3m x+2,3`

If the function. g(x)={(ksqrt(x+1),0lexle3),(mx+2,3ltxle5):} is differentiable, then the value of k+m is :

if the function g(x)={{:(ksqrt(x+1)"," 0 le x le 3),(mx+2 "," 3 lt x le 5):} Is differentiable , then the value of k+m is :

If the function g (x ) = {{:( k sqrt (x + 1)",", 0 le x le 3),( mx + 2 "," , 3 lt x le 5):} is differentiable, then the value of k + m is :

Which of the following statement is true for the function f(x)={{:(sqrt(x),","x ge 1),(x^(3) ,","0 le x lt 1),((x^(3))/(3)-4x,"," x lt 0):}

If the function f(x) =(x^(2))/(3), - 1lt x lt 2 = 0 , otherwise is a p.d.f of X, then P(X lt 0) is

If the function f(x) = {(5x-4, ",","if"0 lt x le 1),(4x^(2)+3bx, ",", "if"1 lt x le 2 ):} is continuous at every point of its domain, then the value of b is

If the function f(x) {:(=5x-4", ... "0 lt x le 1 ), (=4x^(2)+3bx", ... "1 lt x lt 2 ) :} is continuous at every point of its domain , then : b =

Find the greatest and least values of function f(x)={-x , -1lt=x<0 2-(x-1)^2, 0lt=xlt=2

The function f(x)= {(5x-4 ", " 0 lt x le 1 ),( 4x^3-3x", " 1 lt x lt 2):}