if $h(x) = 6 - x$, what is the value of $(h \circ h)(10)$?

-4
-2
10
16

Question

if $h(x) = 6 - x$, what is the value of $(h \circ h)(10)$?

-4
-2
10
16

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Composite Functions", "Function Evaluation" ], "new_concepts": [], "current_concepts": [ "Composite Functions", "Function Evaluation" ] } ## Define the composition of functions $$ (h \circ h)(10) = h(h(10)) $$ ## Evaluate the inner function $$ h(10) = 6 - 10 = -4 $$ ## Evaluate the outer function $$ h(-4) = 6 - (-4) = 10 $$

-4

-2

10

16

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

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QUESTION IMAGE

Question

Explanation:

Define the composition of functions

Evaluate the inner function

Evaluate the outer function

Answer: