What is $g(3)$ given $g(x)=4 x+1$?
A. 13
B. 8
C. 12
D. 16
Answer (1)
Substitute x = 3 into the function g ( x ) = 4 x + 1 .
Calculate 4 × 3 = 12 .
Add 1 to the result: 12 + 1 = 13 .
The final answer is 13 .
Explanation
Understanding the problem We are given the function g ( x ) = 4 x + 1 and asked to find the value of g ( 3 ) . This means we need to substitute x = 3 into the expression for g ( x ) .
Substituting x = 3 To find g ( 3 ) , we replace x with 3 in the expression 4 x + 1 . This gives us: g ( 3 ) = 4 ( 3 ) + 1
Performing the multiplication Now, we perform the multiplication: 4 ( 3 ) = 12 So, we have: g ( 3 ) = 12 + 1
Adding the numbers Finally, we add the numbers: 12 + 1 = 13 Therefore, g ( 3 ) = 13 .
Final Answer The value of g ( 3 ) is 13, which corresponds to option A.
Examples
Imagine you're selling lemonade. You charge $4 per cup, and there's a fixed cost of $1 for the sign you made. The function g(x) = 4x + 1 represents your total earnings, where x is the number of cups sold. If you sell 3 cups of lemonade, g(3) tells you your total earnings: $4 * 3 + $1 = $13. This helps you calculate profits and understand how your earnings grow with each cup sold.
