To find the output [tex]\( h \)[/tex] when the input [tex]\( x \)[/tex] is [tex]\(-18\)[/tex], we substitute [tex]\( x = -18 \)[/tex] into the equation [tex]\( h = 17 + \frac{x}{6} \)[/tex].
Here are the steps:
1. Substitute the value of [tex]\( x \)[/tex] into the equation:
[tex]\[
h = 17 + \frac{-18}{6}
\][/tex]
2. Simplify the fraction [tex]\( \frac{-18}{6} \)[/tex]:
[tex]\[
\frac{-18}{6} = -3
\][/tex]
3. Substitute [tex]\(-3\)[/tex] back into the equation:
[tex]\[
h = 17 + (-3)
\][/tex]
4. Perform the addition:
[tex]\[
17 + (-3) = 14
\][/tex]
Therefore, the value of [tex]\( h \)[/tex] when [tex]\( x = -18 \)[/tex] is [tex]\( 14 \)[/tex].
[tex]\[
h = 14
\][/tex]
