Question

unit: functions
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on yo
find the domain of ( f(x) = \frac{x - 3}{7x} ).
all real numbers except -3
all real numbers except 7
all real numbers except 0
all real numbers except 3

Explanation:

Step1: Recall domain of rational functions

For a rational function \( f(x)=\frac{g(x)}{h(x)} \), the domain excludes values where \( h(x) = 0 \) (since division by zero is undefined). Here, \( h(x)=7x \).

Step2: Solve \( h(x)=0 \)

Set \( 7x = 0 \). Dividing both sides by 7, we get \( x = 0 \). So the domain is all real numbers except \( x = 0 \).

Answer:

All real numbers except 0 (corresponding to the option with text "All real numbers except 0")