Answer :
To find the value of [tex]\( f(5) \)[/tex] for the given function [tex]\( f(x) = 3x^2 + 2x - 1 \)[/tex], we will substitute [tex]\( x = 5 \)[/tex] into the function and calculate step by step.
1. Start with the function: [tex]\( f(x) = 3x^2 + 2x - 1 \)[/tex].
2. Substitute [tex]\( x = 5 \)[/tex] into the function:
[tex]\[
f(5) = 3(5)^2 + 2(5) - 1
\][/tex]
3. Calculate [tex]\( 5^2 \)[/tex]:
[tex]\[
5^2 = 25
\][/tex]
4. Multiply by 3:
[tex]\[
3 \times 25 = 75
\][/tex]
5. Calculate [tex]\( 2 \times 5 \)[/tex]:
[tex]\[
2 \times 5 = 10
\][/tex]
6. Add these results together:
[tex]\[
75 + 10 - 1
\][/tex]
7. Finally, perform the addition and subtraction:
[tex]\[
75 + 10 = 85
\][/tex]
[tex]\[
85 - 1 = 84
\][/tex]
Therefore, the value of [tex]\( f(5) \)[/tex] is 84. The correct answer is B. 84.
1. Start with the function: [tex]\( f(x) = 3x^2 + 2x - 1 \)[/tex].
2. Substitute [tex]\( x = 5 \)[/tex] into the function:
[tex]\[
f(5) = 3(5)^2 + 2(5) - 1
\][/tex]
3. Calculate [tex]\( 5^2 \)[/tex]:
[tex]\[
5^2 = 25
\][/tex]
4. Multiply by 3:
[tex]\[
3 \times 25 = 75
\][/tex]
5. Calculate [tex]\( 2 \times 5 \)[/tex]:
[tex]\[
2 \times 5 = 10
\][/tex]
6. Add these results together:
[tex]\[
75 + 10 - 1
\][/tex]
7. Finally, perform the addition and subtraction:
[tex]\[
75 + 10 = 85
\][/tex]
[tex]\[
85 - 1 = 84
\][/tex]
Therefore, the value of [tex]\( f(5) \)[/tex] is 84. The correct answer is B. 84.
