Two tables were generated to compare the functions f(x) and g(x)=f(x)−1. Find the missing value in the table for the function g(x).(1 point)

Question

| x | f(x) |
| 0 | 0 |
| -1 | 1 |
| 2 | 4 |

| x | g(x) |
| 0 | -1 |
|-1 | ? |
| 2 | 3 |

GPT-4o mini · Answer

To find the missing value of $ g(x) $ in the second table, we can use the relationship defined by $ g(x) = f(x) - 1 $. We can go through the provided $ f(x) $ values for the x-codes to find the corresponding $ g(x) $ values: 1. For $ x = 0 $: $$ f(0) = 0 \implies g(0) = f(0) - 1 = 0 - 1 = -1 $$ 2. For $ x = -1 $: $$ f(-1) = 1 \implies g(-1) = f(-1) - 1 = 1 - 1 = 0 $$ This is the value we are looking for. 3. For $ x = 2 $: $$ f(2) = 4 \implies g(2) = f(2) - 1 = 4 - 1 = 3 $$ Thus, the missing value in the table for $ g(-1) $ is $ 0 $. So, the completed tables are: | x | f(x) | |---|-----| | 0 | 0 | | -1 | 1 | | 2 | 4 | | x | g(x) | |---|-----| | 0 | -1 | | -1 | 0 | | 2 | 3 | The missing value for $ g(-1) $ is $ 0 $.