Question

If 7 is an element in the domain of ​f(x) =5x-17 / 5
​, what is the corresponding element in the​ range?
the corresponding element is

Answer 1

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.

1. Substitute \( x = 7 \) into the function:

\[
f(7) = \frac{5(7) - 17}{5}
\]

2. Calculate \( 5(7) - 17 \):

\[
5(7) = 35
\]
\[
35 - 17 = 18
\]

3. 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:

\[
\frac{18}{5} \text{ or } 3.6
\]