The domain values are the values of x. The range values are the values of y. To find the range values when the domain value is 6, we need to evaluate the function for x = 6.
The function given is:
[tex]y=\frac{2x-4}{x^2-4}[/tex]
Then, we substitute:
[tex]y=\frac{2\cdot6-4}{6^2-4}=\frac{12-4}{36-4}=\frac{8}{32}=\frac{1}{4}[/tex]
Thus, the correct answer is option 3:
[tex]y=\frac{1}{4}[/tex]
