Respuesta :

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.