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 [tex]\( f(x) = -5x^2 - x + 20 \)[/tex].

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

2. Calculate the square of 3:

[tex]\[
3^2 = 9
\][/tex]

3. Multiply by -5:

[tex]\[
-5 \times 9 = -45
\][/tex]

4. Subtract 3:

After multiplying, subtract 3 from the result:

[tex]\[
-45 - 3 = -48
\][/tex]

5. Add 20:

Finally, add 20 to the result:

[tex]\[
-48 + 20 = -28
\][/tex]

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

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