Question

f(x)= radical x-6

Answer 1

-6

Answer 2

\[f(x)=\sqrt{x-6}\]

Answer 3

The function is continous on the interval _____?

Answer 4

how is it asking you to solve iy?

Answer 5

Determine where the function f(x) is continous

Answer 6

Thats all the information I have!

Answer 7

it is continuous on its domain, so they are really asking for the domain of
\[f(x)=\sqrt{x-6}\]

Answer 8

Hint:

\[\Large f(x)=\sqrt{x-k}\]

is continuous on the interval [k, infinity) because

x-k >= 0

x >= k

Answer 9

[-6,infinity) is where the function is continous?

Answer 10

in this case, k = 6, so it's really [6, infinity)

Answer 11

what @jim_thompson5910 said
you cannot take the square root of a negative number, so what you really need to solve is
\[x-6\geq 0\] in one step to find your domain

Answer 12

Ohh, see stupid mistake! My brain feels fried!

Answer 13

that's ok, silly mistake