f(x)= {(3x-8,"If " x le 5),(2k,"if" x gt...

`f(x)= {(3x-8,"If " x le 5),(2k,"if" x gt 5):}` is continuous, find k

A

`2/7`

B

`3/7`

C

`4/7`

D

`7/2`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Find the value of k if f(x)={{:(kx+1," if "x le 5),(3x-1," if "x gt 5):} is continuous at x=5.

The function is defined by f(x) = {(kx+1,if, x le5),(3x-5,if, x gt 5):} is continuous at x = 5. Find k.

If f(x)={{:(Kx^(2),"if x" le 2),(3,"if x" gt 2):}} is continuous at x = 2, then the value of K is

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

Is the function defined by f(x)={{:(x+5," if "x le1),(x-5," if "x gt 1):} a continuous function?

Find the relationship between a and b so that the function f defind by f(x)= {(ax+1, if x le 3),(bx+3, if x gt 3):} is continuous at x=3

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.

Is the function f defined by f(x) = {{:(x," if "x le 1),(3," if "x gt 1):} continuous at x= 0 ? At x=1? At x=2? .

Find the relationship between a and b so that the function defined by f(x) = {(ax+1,if, x le 3),(bx+3,if, x gt 3):} is continuous at x = 3.