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{ "quality": "incomplete", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Composite Functions" ], "new_concepts": [ "Graphical Function Evaluation" ], "current_concepts": [ "Composite Functions", "Graphical Function Evaluation" ] } ## Evaluate the inner function Using the *Composite Functions* knowledge point $$ \begin{aligned} &\text{For } (g \circ f)(-1), \text{ the inner function is } f(-1).\ &\text{Locate } x = -1 \text{ on the graph of } y = f(x).\ &f(-1) = 1 \end{aligned} $$ ## Evaluate the outer function Using the *Composite Functions* knowledge point $$ \begin{aligned} &(g \circ f)(-1) = g(f(-1)) = g(1)\ &\text{Locate } x = 1 \text{ on the graph of } y = g(x).\ &g(1) = 3 \end{aligned} $$ $3$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Composite Functions" ] }

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Evaluate the inner function

Evaluate the outer function

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