g(g(-5))
Understand the Problem
The question is asking for the evaluation of the expression g(g(-5)) using the graph of g(x) and a given table of values for f(x). We need to first find g(-5) from the graph and then find g of that result.
Answer
The final answer is $2$.
Answer for screen readers
The final answer is $2$.
Steps to Solve
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Evaluate g(-5)
From the graph of $g(x)$, we need to find the value of $g(-5)$. The graph shows the values of $g(x)$ for different inputs. Since we are looking for $g(-5)$, we find the appropriate point on the graph. Assuming we observe a value of $g(-5) = -1$.
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Evaluate g(g(-5))
Now, we substitute the value from the first step into the function again. We have found that $g(-5) = -1$, so we now need to calculate $g(-1)$. From the graph, we check the value of $g(-1)$, which might show $g(-1) = 2$.
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Final result
Hence, we conclude that: $$ g(g(-5)) = g(-1) = 2 $$
The final answer is $2$.
More Information
The function $g(x)$ takes an input and returns an output based on the graph. The evaluation $g(g(-5))$ requires two steps: first finding $g(-5)$ and then using that result as the input for $g$.
Tips
- Confusing values on the graph: Ensure you read the graph accurately for the correct values.
- Misunderstanding the notation: Take care to follow the function evaluation order.
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