Answer :
To find [tex]\( f(3) \)[/tex] for the function [tex]\( f(x) = -5x^2 - x + 20 \)[/tex], we'll follow these steps:
1. Substitute 3 into the function.
We need to 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 by -5.
[tex]\[
-5 \times 9 = -45
\][/tex]
4. Substitute and simplify further.
Now put the value back into the equation:
[tex]\[
f(3) = -45 - 3 + 20
\][/tex]
5. Calculate the expression.
First, add [tex]\(-45\)[/tex] and [tex]\(-3\)[/tex]:
[tex]\[
-45 - 3 = -48
\][/tex]
Then add 20:
[tex]\[
-48 + 20 = -28
\][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is [tex]\(-28\)[/tex].
1. Substitute 3 into the function.
We need to 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 by -5.
[tex]\[
-5 \times 9 = -45
\][/tex]
4. Substitute and simplify further.
Now put the value back into the equation:
[tex]\[
f(3) = -45 - 3 + 20
\][/tex]
5. Calculate the expression.
First, add [tex]\(-45\)[/tex] and [tex]\(-3\)[/tex]:
[tex]\[
-45 - 3 = -48
\][/tex]
Then add 20:
[tex]\[
-48 + 20 = -28
\][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is [tex]\(-28\)[/tex].
