Pre Calc Question Help, State the domain of the rational function. (5 points)
f(x) = sixteen divided by quantity thirteen minus x

All real numbers except 13.
All real numbers except -16 and 16.
All real numbers except -13 and 13.
All real numbers except 16.

Step-by-step explanation:

Domain is the set of all values of x where the function is defined. For this function the only limitation upon x exists when the denominator would equal zero, because division by zero is undefined. So the denominator 13-x cannot equal zero thus x cannot equal 13. Thus the domain is all real numbers except 13.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2