Answer :
To find the value of [tex]\( f(5) \)[/tex] for the function [tex]\( f(x) = 3x^2 + 2x - 1 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 5 \)[/tex] into the function:
[tex]\[
f(5) = 3(5)^2 + 2(5) - 1
\][/tex]
2. Calculate [tex]\( 5^2 \)[/tex]:
[tex]\[
5^2 = 25
\][/tex]
So, the expression becomes:
[tex]\[
3(25) + 2(5) - 1
\][/tex]
3. Multiply [tex]\( 3 \)[/tex] by [tex]\( 25 \)[/tex]:
[tex]\[
3 \times 25 = 75
\][/tex]
Now, the expression is:
[tex]\[
75 + 2(5) - 1
\][/tex]
4. Calculate [tex]\( 2(5) \)[/tex]:
[tex]\[
2 \times 5 = 10
\][/tex]
Updating the expression gives us:
[tex]\[
75 + 10 - 1
\][/tex]
5. Add [tex]\( 75 \)[/tex] and [tex]\( 10 \)[/tex]:
[tex]\[
75 + 10 = 85
\][/tex]
6. Subtract [tex]\( 1 \)[/tex]:
[tex]\[
85 - 1 = 84
\][/tex]
So, the value of [tex]\( f(5) \)[/tex] is [tex]\( 84 \)[/tex]. The correct answer is B, 84.
1. Substitute [tex]\( x = 5 \)[/tex] into the function:
[tex]\[
f(5) = 3(5)^2 + 2(5) - 1
\][/tex]
2. Calculate [tex]\( 5^2 \)[/tex]:
[tex]\[
5^2 = 25
\][/tex]
So, the expression becomes:
[tex]\[
3(25) + 2(5) - 1
\][/tex]
3. Multiply [tex]\( 3 \)[/tex] by [tex]\( 25 \)[/tex]:
[tex]\[
3 \times 25 = 75
\][/tex]
Now, the expression is:
[tex]\[
75 + 2(5) - 1
\][/tex]
4. Calculate [tex]\( 2(5) \)[/tex]:
[tex]\[
2 \times 5 = 10
\][/tex]
Updating the expression gives us:
[tex]\[
75 + 10 - 1
\][/tex]
5. Add [tex]\( 75 \)[/tex] and [tex]\( 10 \)[/tex]:
[tex]\[
75 + 10 = 85
\][/tex]
6. Subtract [tex]\( 1 \)[/tex]:
[tex]\[
85 - 1 = 84
\][/tex]
So, the value of [tex]\( f(5) \)[/tex] is [tex]\( 84 \)[/tex]. The correct answer is B, 84.
