[" Q.75) If the function."],[g(x)={[k sqrt(x+1),,0<=x<=3],[mx+2,,3

If the function,g(x)={k sqrt(x+1),0<=x<=3mx+2,3

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 :

If the function g(x)={{:(,k sqrt(x+1),0 le x le3),(,mx+2,3lt xle5):} is differentiable, then the value of k+m is

If the function f(x)={[(cos x)^((1)/(x)),x!=0k,x=0k,x=0]} is continuos at x=0 then the value of k]}

Q.The domain of the function f(g(x)) is (A) [0,sqrt(2)](B)[1,2](C)[-1,sqrt(2)](D)[sqrt(2),2]

Let g(x) be a function defined on [-1,1]dot If the area of the equilateral triangle with two of its vertices at (0,0)a n d(x ,g(x)) is (sqrt(3))/4 , then the function g(x) is g(x)=+-sqrt(1-x^2) g(x)=sqrt(1-x^2) g(x)=-sqrt(1-x^2) g(x)=sqrt(1+x^2)

If the function f(x) = {((cosx)^(1/x), ",", x != 0),(k, ",", x = 0):} is continuous at x = 0, then the value of k is

Let g(x) be a function defined on [-1,1]dot If the area of the equilateral triangle with two of its vertices at (0,0) a n d (x ,g(x)) is (a) (sqrt(3))/4 , then the function g(x) is (b) g(x)=+-sqrt(1-x^2) (c) g(x)=sqrt(1-x^2) (d) g(x)=-sqrt(1-x^2) g(x)=sqrt(1+x^2)