Let's determine the value of \( F(x) \) when \( x = -2 \), given the function \( F(x) = 8x + 7 \).
1. Start with the given function:
[tex]\[
F(x) = 8x + 7
\][/tex]
2. Substitute \( x = -2 \) into the function:
[tex]\[
F(-2) = 8(-2) + 7
\][/tex]
3. Calculate the product:
[tex]\[
8(-2) = -16
\][/tex]
4. Add 7 to the result:
[tex]\[
-16 + 7 = -9
\][/tex]
Hence, the value of \( F(-2) \) is:
[tex]\[
F(-2) = -9
\][/tex]