To find the corresponding element in the range for the function \( f(x) = \frac{5x - 17}{5} \) when \( x = 7 \), we can substitute \( 7 \) into the function.
- Substitute \( x = 7 \) into the function:
\[ f(7) = \frac{5(7) - 17}{5} \]
- Calculate \( 5(7) - 17 \):
\[ 5(7) = 35 \] \[ 35 - 17 = 18 \]
- Now substitute back into the function:
\[ f(7) = \frac{18}{5} \]
Thus, the corresponding element in the range is:
\[ \frac{18}{5} \]
So the answer is:
\[ \frac{18}{5} \text{ or } 3.6 \]