Answer :
To find the value of the function [tex]\( f(x) = -5x^2 - x + 20 \)[/tex] at [tex]\( x = 3 \)[/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 back into the equation.
[tex]\[
f(3) = -45 - 3 + 20
\][/tex]
5. Perform the addition and subtraction.
[tex]\[
-45 - 3 = -48
\][/tex]
[tex]\[
-48 + 20 = -28
\][/tex]
Therefore, the value of the function [tex]\( f(3) \)[/tex] is [tex]\(-28\)[/tex].
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 back into the equation.
[tex]\[
f(3) = -45 - 3 + 20
\][/tex]
5. Perform the addition and subtraction.
[tex]\[
-45 - 3 = -48
\][/tex]
[tex]\[
-48 + 20 = -28
\][/tex]
Therefore, the value of the function [tex]\( f(3) \)[/tex] is [tex]\(-28\)[/tex].
