Question

State the domain of the rational function.
f(x)=13/2-x


Please explain the steps to me, if possible!

Answer 1

if 2-x is the denominator then the denominator cannot be 0

if it was 0, then

2-x = 0

2-x+x = 0+x

2+0x = x

2 = x

x = 2

which means that x = 2 makes 2-x equal to zero

so we must kick out the number 2 from the domain to avoid division by zero

Answer 2

the domain is therefore: the set of all real numbers but x cannot equal 2

Answer 3

Thank you!

Answer 4

Just positive 2, no -2?

Answer 5

positive 2

Answer 6

-2 works because it does not make the denominator 0

Answer 7

Thank you!

Answer 8

sure thing