To find the value of [tex]\( f(-4) \)[/tex] for the function [tex]\( f(x) = 2x^2 - 9 \)[/tex]:
1. Substitute the value of [tex]\( x \)[/tex] in the function [tex]\( f(x) \)[/tex]:
[tex]\[
f(-4) = 2(-4)^2 - 9
\][/tex]
2. Evaluate [tex]\( (-4)^2 \)[/tex]:
[tex]\[
(-4)^2 = 16
\][/tex]
3. Multiply this result by 2:
[tex]\[
2 \times 16 = 32
\][/tex]
4. Subtract 9 from the result:
[tex]\[
32 - 9 = 23
\][/tex]
Thus, the value of [tex]\( f(-4) \)[/tex] is:
[tex]\[
f(-4) = 23
\][/tex]
