To find [tex]\( g(3) \)[/tex] given the function [tex]\( g(x) = 4x + 1 \)[/tex], follow these steps:
1. Identify the function and the variable: We are given the function [tex]\( g(x) = 4x + 1 \)[/tex] and need to find the value of the function when [tex]\( x = 3 \)[/tex].
2. Substitute the value of [tex]\( x \)[/tex] into the function: Replace [tex]\( x \)[/tex] in [tex]\( g(x) = 4x + 1 \)[/tex] with 3.
[tex]\( g(3) = 4(3) + 1 \)[/tex]
3. Perform the multiplication: Multiply 4 by 3.
[tex]\( 4 \times 3 = 12 \)[/tex]
4. Add the result to 1: Add 1 to the product obtained in the previous step.
[tex]\( 12 + 1 = 13 \)[/tex]
Therefore, the value of [tex]\( g(3) \)[/tex] is 13.
So the correct answer is:
A. 13