If 8 is an element in the domain of f(x)=5x-25 over 2, what is the corresponding element in the range?

The corresponding element in the range is 7.5.
Solution:
The domain of the function is all the input values of x.
The range of the function is the all the output values of y or f(x).
[tex]$f(x)=\frac{5 x-25}{2}[/tex]
8 is an element in the range of the function.
This means x = 8.
To find the corresponding element in the range:
Substitute x = 8 in f(x).
[tex]$f(8)=\frac{5 (8)-25}{2}[/tex]
[tex]$=\frac{40-25}{2}[/tex]
[tex]$=\frac{15}{2}[/tex]
= 7.5
f(8) = 7.5
The corresponding element in the range is 7.5.