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What is the output of the function [tex]$f(p) = 3p - 2$[/tex] when the input is [tex]2[/tex]?

A. 0
B. 2
C. 4
D. 6
E. 8


Sagot :

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].