To find the value of [tex]\( h(x) \)[/tex] when [tex]\( x = -4 \)[/tex] for the function [tex]\( h(x) = -2x - 10 \)[/tex], we need to substitute [tex]\( x = -4 \)[/tex] into the function and simplify.
Here’s the step-by-step process:
1. Start with the function:
[tex]\[ h(x) = -2x - 10 \][/tex]
2. Substitute [tex]\( x = -4 \)[/tex] into the function:
[tex]\[ h(-4) = -2(-4) - 10 \][/tex]
3. Evaluate the expression by multiplying:
[tex]\[ -2(-4) = 8 \][/tex]
4. Then subtract 10 from the result:
[tex]\[ 8 - 10 = -2 \][/tex]
Therefore, [tex]\( h(-4) = -2 \)[/tex].
Among the given options:
[tex]\[ -2, -18, -3, -16 \][/tex]
The correct answer is:
[tex]\[ -2 \][/tex]
