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------------------------------------------------ Given the function [tex]$f(x) = -5x^2 - x + 20$[/tex], find [tex]$f(3)$[/tex].

A. [tex]-28[/tex]
B. [tex]-13[/tex]
C. [tex]62[/tex]
D. [tex]64[/tex]

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. Multiply [tex]\(-5\)[/tex] by [tex]\( 9 \)[/tex]:

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

4. Substitute into the equation and simplify:

[tex]\[
f(3) = -45 - 3 + 20
\][/tex]

5. Combine the terms:

- First, add [tex]\(-45 - 3\)[/tex]:

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

- Then add [tex]\(-48 + 20\)[/tex]:

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

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

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