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------------------------------------------------ Given the function [tex]f(x) = -5x^2 - x + 20[/tex], find [tex]f(3)[/tex].

A. [tex]-28[/tex]
B. [tex]-13[/tex]
C. 62
D. 64

To find [tex]$ f(3) $[/tex] for the function [tex]$ f(x) = -5x^2 - x + 20 $[/tex], you follow these steps:

1. Substitute [tex]$ x = 3 $[/tex] into the function:
[tex]\[
f(3) = -5 \times (3)^2 - (3) + 20
\][/tex]

2. Calculate [tex]$ 3^2 $[/tex]:
[tex]\[
3^2 = 9
\][/tex]

3. Multiply by [tex]$-5$[/tex]:
[tex]\[
-5 \times 9 = -45
\][/tex]

4. Substitute all values into the expression:
[tex]\[
f(3) = -45 - 3 + 20
\][/tex]

5. Perform the arithmetic:
- First, combine [tex]$-45$[/tex] and [tex]$-3$[/tex]:
[tex]\[
-45 - 3 = -48
\][/tex]
- Then add 20:
[tex]\[
-48 + 20 = -28
\][/tex]

Hence, the value of [tex]$ f(3) $[/tex] is [tex]$-28$[/tex].