To find the missing value in the table for the function \( g(x) = f(x) - 1 \), we need to use the values of \( f(x) \) from the first table and plug them into the equation for \( g(x) \).
Let's do it step by step:
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For \( x = 0 \): \[ g(0) = f(0) - 1 = 0 - 1 = -1 \quad \text{(this matches the table)} \]
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For \( x = -1 \): We need to find \( g(-1) \): \[ g(-1) = f(-1) - 1 \] From the first table, we see that \( f(-1) = 1 \): \[ g(-1) = 1 - 1 = 0 \]
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For \( x = 2 \): \[ g(2) = f(2) - 1 = 4 - 1 = 3 \quad \text{(this matches the table)} \]
Now we have completed all entries. The missing value \( g(-1) \) is \( 0 \).
Therefore, the missing value in the table for \( g(x) \) when \( x = -1 \) is:
\[ \boxed{0} \]