Question

State the domain of the rational function:

f(x) = 12
13 - x

A. All real numbers except -12 and 12.
B. All real numbers except 13.
C. All real numbers except -13 and 13.
D. All real numbers except 12.

Answer 1

The domain of the rational function f(x) = 12/(13 - x) is all real numbers except x = 13.

Step-by-step explanation:

The domain of the rational function f(x) = 12/(13 - x) is all real numbers except x = 13. To determine this, we need to find the values of x that would make the denominator zero. We set the denominator equal to zero and solve for x: 13 - x = 0 => x = 13. Therefore, the domain is all real numbers except x = 13.