If f(x) ={(kx^2),(3):}, ((x <3),(x ge3))...

If `f(x) ={(kx^2),(3):}, ((x <3),(x ge3))` and f is continuous at x = 3 then value of k is :

A

`1/3`

B

`1/9`

C

`3/7`

D

`7/3`

Verified by Experts

Similar Questions

Explore conceptually related problems

If f(x) ={(kx^2),(4):}, ((x <4),(x ge4)) and f is continuous at x = 4 then value of k is :

If f(x) = {:{(kx^2,x <2),(3,xge2):} is continous at x =0, the value of 'k' is

If f(x)= {(kx^2,,x,<,2),(3,,x,ge,2):} is continuous at x = 2, then the value of 'k' is :

Determine the constant k(if it exists), so that the following functions may be continuous: f(x) = {:{(kx^2, xle2),(3,x>2):}

If f(x) = {:{(x-2, x 3):} then, find f(8)

If f(x)={(kx+2" , "xle5),(3x-4" , "xgt5):} is continuous at x=5 then value of k is:

For what value of 'k' the function 'f ' defined by f(x) = {(kx^2,,x,le,4),(3,,x,>,4):} is continuous at x = 4.

If f(x)= {(1,-,kx, x,le3),(2x,+,3,x,>3):} is a continuous function, then the value of k is

If f(x) = {:{(kx+1,xle5),(3x-5,x>5):} s is a continuous function then the value of k is

If f(x)= {(kx^4,,x,<,4),(4,,x,ge,4):} is continuous at x = 4, then the value of 'k' is :