Answer :

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

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

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

3. Substitute [tex]\( 9 \)[/tex] back into the equation:
[tex]\[
f(3) = -5(9) - 3 + 20
\][/tex]

4. Multiply [tex]\(-5\)[/tex] by [tex]\(9\)[/tex]:
[tex]\[
-5 \times 9 = -45
\][/tex]

5. Substitute [tex]\(-45\)[/tex] back into the equation:
[tex]\[
f(3) = -45 - 3 + 20
\][/tex]

6. Add [tex]\(-45\)[/tex] and [tex]\(-3\)[/tex]:
[tex]\[
-45 - 3 = -48
\][/tex]

7. Add [tex]\(-48\)[/tex] and [tex]\(20\)[/tex]:
[tex]\[
-48 + 20 = -28
\][/tex]

Therefore, [tex]\( f(3) = -28 \)[/tex]. The correct answer is [tex]\(-28\)[/tex].

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