Certainly! Let's fill in the blanks step by step.
Given the function [tex]\( h(x) = -4x - 7 \)[/tex] and we need to find its value when [tex]\( x = 3 \)[/tex].
1. Replace [tex]\( x \)[/tex] with 3 in the function [tex]\( h(x) \)[/tex].
[tex]\[
h(3) = -4(3) - 7
\][/tex]
2. Perform the multiplication [tex]\( -4 \cdot 3 \)[/tex].
[tex]\[
h(3) = -12 - 7
\][/tex]
3. Subtract 7 from -12.
[tex]\[
h(3) = -19
\][/tex]
Now let's fill in the blanks:
[tex]\[
\begin{array}{l}
h(x) = -4x - 7, \text{ when } x = 3 \\
h(3) = -19
\end{array}
\][/tex]
