given that (f(x) = x^2 - 1) and (h(x) = -x + 7), what is (h(f(-6)))?

- 168
- -28
- 35
- 13

Question

given that (f(x) = x^2 - 1) and (h(x) = -x + 7), what is (h(f(-6)))?

- 168
- -28
- 35
- 13

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Composite Functions", "Function Evaluation" ], "current_concepts": [ "Composite Functions", "Function Evaluation" ] } ## Evaluate the inner function $f(-6)$ $$ \begin{aligned} f(x) &= x^2 - 1 \ f(-6) &= (-6)^2 - 1 \ f(-6) &= 36 - 1 \ f(-6) &= 35 \end{aligned} $$ ## Evaluate the outer function $h(f(-6))$ $$ \begin{aligned} h(x) &= -x + 7 \ h(f(-6)) &= h(35) \ h(35) &= -35 + 7 \ h(35) &= -28 \end{aligned} $$

(A) 168

(B) $-28$

(C) 35

(D) 13

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Composite Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Evaluate the inner function \(f(-6)\)

Evaluate the outer function \(h(f(-6))\)

Answer: