Question

State the domain of the rational function.

f(x) = 12/13-x

Answer 1

the domain is

\[x \neq 13\]

Answer 2

All real numbers except 13.
or
All real numbers except -13 and 13.

Answer 3

all real numbers except 13

Answer 4

thx

Answer 5

because if it is -13 then the denominator will not equal zero

Answer 6

can u help with one more

Answer 7

sure

Answer 8

oh ok i get you

Answer 9

Find the vertex of the graph of the function.

f(x) = (x + 6)2 + 3

Answer 10

(0, -6)
( 3, 0)
( 3, -6)
( -6, 3)

Answer 11

is the equation \[(x+6)^{2}+3\]
or is the equation 2(x+6)+3

Answer 12

first one

Answer 13

the answer is (-6,3)

Answer 14

thank you so much

Answer 15

because u already are given the completed the square version of the answer therefore all you need to do is look at your question.

the equation for completing the square will usually look like \[(x-a)^2+b\]
so therefore the vertex will be (a,b)
This means that whatever is inside the bracket will usually have the opposite sign(+/-) and whatever is outside the bracket will have the same sign as the equation.
So in your case the formula inside the bracket was (x+6)^2+3
That meant that the a=-6 and the b=3 thus the vertex was (-6,3)