Question

If 8 is an element in the domain of ​f(x)equalsStartFraction 6 x minus 21 Over 2 EndFraction
​, what is the corresponding element in the​ range?
Question content area bottom
Part 1
The corresponding element is
  
enter your response here

Answer 1

To find the corresponding element in the range of the function \( f(x) = \frac{6x - 21}{2} \) when \( x = 8 \), we'll first substitute \( x = 8 \) into the function:

\[
f(8) = \frac{6(8) - 21}{2}
\]

Now, calculate inside the parentheses:

\[
6(8) = 48
\]
\[
48 - 21 = 27
\]

Now, divide by 2:

\[
f(8) = \frac{27}{2} = 13.5
\]

Thus, the corresponding element in the range is \( \frac{27}{2} \) or \( 13.5 \).

So, the answer is:

**13.5** or **\(\frac{27}{2}\)**.