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:

Start with the expression for the function:
[tex]\[
f(x) = -5x^2 - x + 20
\][/tex]

Replace [tex]\( x \)[/tex] with 3:
[tex]\[
f(3) = -5(3)^2 - (3) + 20
\][/tex]

2. Calculate the square:

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

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

3. Multiply and simplify:

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

Substitute the result back:
[tex]\[
f(3) = -45 - 3 + 20
\][/tex]

4. Combine the terms:

First, combine [tex]\(-45\)[/tex] and [tex]\(-3\)[/tex]:
[tex]\[
-45 - 3 = -48
\][/tex]

Then add 20:
[tex]\[
-48 + 20 = -28
\][/tex]

So, the final result is:
[tex]\[
f(3) = -28
\][/tex]

The correct answer is [tex]\(-28\)[/tex].

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Rewritten by : Barada