Given $g(x)=3x-1$, find $g(2).

Substitute x = 2 into the function g ( x ) = 3 x − 1 .
Calculate 3 × 2 = 6 .
Subtract 1 from the result: 6 − 1 = 5 .
The final answer is 5 ​ .

Explanation

Understanding the problem We are given the function g ( x ) = 3 x − 1 , and we want to find the value of g ( 2 ) . This means we need to substitute x = 2 into the expression for g ( x ) .

Substituting x=2 To find g ( 2 ) , we replace x with 2 in the expression 3 x − 1 . So we have: g ( 2 ) = 3 ( 2 ) − 1

Performing the multiplication Now, we perform the multiplication: g ( 2 ) = 6 − 1

Subtracting 1 from 6 Finally, we subtract 1 from 6: g ( 2 ) = 5

Final Answer Therefore, the value of g ( 2 ) is 5.


Examples
Imagine you are calculating the cost of renting a bike. The rental company charges a fixed fee of $1 and an hourly rate of 3. I f yo u re n tt h e bik e f or 2 h o u rs , t h e t o t a l cos t c anb ec a l c u l a t e d u s in g t h e f u n c t i o n g(x) = 3x - 1 , w h ere x i s t h e n u mb ero f h o u rs . I n t hi sc a se , g(2) = 3(2) - 1 = 5$, so the total cost would be $5.

Answered by GinnyAnswer | 2025-07-03

To find g ( 2 ) for the function g ( x ) = 3 x − 1 , substitute 2 for x , calculate 3 ( 2 ) − 1 , which simplifies to 5 . Thus, g ( 2 ) = 5 .
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Answered by Anonymous | 2025-07-04