Question

State the domain of the rational function. f(x) = thirteen divided by quantity two minus x.

Answer 1

\[\Large f(x) = \frac{13}{2-x}\]

Answer 2

Sometimes it's easier to single out what's not in the domain ^^

Answer 3

Whenever it's a rational function, just look for the values of x that would make the denominator equal to zero.

So when is 2 - x equal to zero?

Answer 4

I'm confused. You can't divide for zero right?

Answer 5

Yup. That's why we need to know when the denominator is zero, so that we know that THAT number is NOT in the domain ^^

Answer 6

So 2 - x = 0?

Answer 7

Yup. x = ?

Answer 8

2?
So he answers are:
All real numbers except 13.

All real numbers except -13 and 13.

All real numbers except -2 and 2.

All real numbers except 2.
Would the answers be all real numbers except 2?

Answer 9

That's right ^^

Good job :)

Answer 10

Thanks!! :) do you think you could help me with another one?

Answer 11

Sure ^^