Question

find a value for K so that if f is continuous at x=3
f(x)=...

Answer 1

\[f(x)= \left\{ \sqrt{5x+1} - \sqrt{x+13} , \ for x \neq 3\right\} and \left\{ k , \, =3\right\}\]

Answer 2

I'm confused at what the question is asking...

Answer 3

is the second part suppose to be a point?

Answer 4

yes k is the point that i have to find a value for to make the function continuous,
{k, for when x=3}

Answer 5

do you mean when the function = 3?

Answer 6

I'm a little confused.

Answer 7

your point is then (3,k)?

Answer 8

i believe so

Answer 9

ok. then x=3 and y=k

Answer 10

plug in 3 and solve for y