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:
Replace every occurrence of [tex]\( x \)[/tex] in the function with 3.
[tex]\[
f(3) = -5(3)^2 - 3 + 20
\][/tex]

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

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

4. Substitute and simplify the expression:
Now replace [tex]\(-5 \times 9\)[/tex] in the equation and simplify:
[tex]\[
f(3) = -45 - 3 + 20
\][/tex]

5. Perform the addition and subtraction:
First, combine [tex]\(-45\)[/tex] and [tex]\(-3\)[/tex].
[tex]\[
-45 - 3 = -48
\][/tex]

Then add 20 to [tex]\(-48\)[/tex].
[tex]\[
-48 + 20 = -28
\][/tex]

The final value of [tex]\( f(3) \)[/tex] is [tex]\(-28\)[/tex]. Therefore, the correct answer is [tex]\(-28\)[/tex].

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Rewritten by : Barada