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Answer :
We are given the function
[tex]$$
f(x) = -5x^2 - x + 20.
$$[/tex]
To find [tex]$f(3)$[/tex], substitute [tex]$x = 3$[/tex] into the function:
[tex]$$
f(3) = -5(3)^2 - 3 + 20.
$$[/tex]
Step 1: Calculate [tex]$3^2$[/tex]:
[tex]$$
3^2 = 9.
$$[/tex]
Step 2: Multiply by [tex]$-5$[/tex]:
[tex]$$
-5 \times 9 = -45.
$$[/tex]
Step 3: Substitute into the function:
[tex]$$
f(3) = -45 - 3 + 20.
$$[/tex]
Step 4: Combine the terms:
[tex]\[
-45 - 3 = -48,
\][/tex]
[tex]\[
-48 + 20 = -28.
\][/tex]
So, the final answer is
[tex]$$
f(3) = -28.
$$[/tex]
[tex]$$
f(x) = -5x^2 - x + 20.
$$[/tex]
To find [tex]$f(3)$[/tex], substitute [tex]$x = 3$[/tex] into the function:
[tex]$$
f(3) = -5(3)^2 - 3 + 20.
$$[/tex]
Step 1: Calculate [tex]$3^2$[/tex]:
[tex]$$
3^2 = 9.
$$[/tex]
Step 2: Multiply by [tex]$-5$[/tex]:
[tex]$$
-5 \times 9 = -45.
$$[/tex]
Step 3: Substitute into the function:
[tex]$$
f(3) = -45 - 3 + 20.
$$[/tex]
Step 4: Combine the terms:
[tex]\[
-45 - 3 = -48,
\][/tex]
[tex]\[
-48 + 20 = -28.
\][/tex]
So, the final answer is
[tex]$$
f(3) = -28.
$$[/tex]
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