To determine the output of the function [tex]\( f(p) = 3p - 2 \)[/tex] when the input is [tex]\( p = 2 \)[/tex], follow these steps:
1. Identify the function and the input:
The function is [tex]\( f(p) = 3p - 2 \)[/tex] and the input is [tex]\( p = 2 \)[/tex].
2. Substitute the input into the function:
Replace [tex]\( p \)[/tex] with [tex]\( 2 \)[/tex] in the function:
[tex]\[
f(2) = 3(2) - 2
\][/tex]
3. Perform the multiplication:
Calculate [tex]\( 3 \times 2 \)[/tex]:
[tex]\[
3 \times 2 = 6
\][/tex]
4. Perform the subtraction:
Subtract 2 from 6:
[tex]\[
6 - 2 = 4
\][/tex]
5. Conclude the output:
The output of the function [tex]\( f(p) = 3p - 2 \)[/tex] when [tex]\( p = 2 \)[/tex] is [tex]\( 4 \)[/tex].
Therefore, the correct answer is [tex]\( \boxed{4} \)[/tex].
