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Answer :
We are given the function
$$
f(x) = -5x^2 - x + 20.
$$
To find $f(3)$, substitute $x = 3$ into the function:
$$
f(3) = -5(3)^2 - (3) + 20.
$$
**Step 1: Calculate the square of 3**
$$
3^2 = 9.
$$
**Step 2: Multiply by -5**
$$
-5 \times 9 = -45.
$$
**Step 3: Multiply -1 by 3**
$$
-1 \times 3 = -3.
$$
**Step 4: Combine the terms**
Now add the computed values:
$$
-45 + (-3) + 20 = -45 - 3 + 20.
$$
**Step 5: Perform the addition**
First, add $-45$ and $-3$:
$$
-45 - 3 = -48.
$$
Then, add $20$:
$$
-48 + 20 = -28.
$$
Thus, the value of $f(3)$ is:
$$
\boxed{-28}.
$$
$$
f(x) = -5x^2 - x + 20.
$$
To find $f(3)$, substitute $x = 3$ into the function:
$$
f(3) = -5(3)^2 - (3) + 20.
$$
**Step 1: Calculate the square of 3**
$$
3^2 = 9.
$$
**Step 2: Multiply by -5**
$$
-5 \times 9 = -45.
$$
**Step 3: Multiply -1 by 3**
$$
-1 \times 3 = -3.
$$
**Step 4: Combine the terms**
Now add the computed values:
$$
-45 + (-3) + 20 = -45 - 3 + 20.
$$
**Step 5: Perform the addition**
First, add $-45$ and $-3$:
$$
-45 - 3 = -48.
$$
Then, add $20$:
$$
-48 + 20 = -28.
$$
Thus, the value of $f(3)$ is:
$$
\boxed{-28}.
$$
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