To determine the value of the function [tex]\( f(x) = 3x^2 + 4 \)[/tex] when [tex]\( x = -3 \)[/tex], we need to follow these steps:
1. Substitute [tex]\( x = -3 \)[/tex] into the function.
2. Calculate the value of the expression for this specific [tex]\( x \)[/tex].
Let's walk through the steps:
1. Substitute [tex]\( x = -3 \)[/tex] into the function:
[tex]\[
f(-3) = 3(-3)^2 + 4
\][/tex]
2. Evaluate the expression:
First, calculate [tex]\( (-3)^2 \)[/tex]:
[tex]\[
(-3)^2 = 9
\][/tex]
Next, multiply this result by 3:
[tex]\[
3 \times 9 = 27
\][/tex]
Finally, add 4 to this result:
[tex]\[
27 + 4 = 31
\][/tex]
Thus, the value of [tex]\( f(x) = 3x^2 + 4 \)[/tex] when [tex]\( x = -3 \)[/tex] is [tex]\(\boxed{31}\)[/tex].
