Question

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

Answer 1

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).

$f(x)=\frac{5 x-25}{2}$

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).

$f(8)=\frac{5 (8)-25}{2}$

      $=\frac{40-25}{2}$

      $=\frac{15}{2}$

      = 7.5

f(8) = 7.5

The corresponding element in the range is 7.5.