Answer :

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

1. Substitute 3 into the function:
Replace [tex]\( x \)[/tex] with 3 in the expression for [tex]\( f(x) \)[/tex]. So you have:
[tex]\[
f(3) = -5(3)^2 - 3 + 20
\][/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 back into the function:
You now have:
[tex]\[
f(3) = -45 - 3 + 20
\][/tex]

5. Perform addition and subtraction:
[tex]\[
f(3) = -45 - 3 = -48
\][/tex]
[tex]\[
-48 + 20 = -28
\][/tex]

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

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Rewritten by : Barada