if $f(x) = 4x$ and $g(x) = 2x - 1$, what is $g(f(-2))$?

-17
-13
-8
-5

Question

if $f(x) = 4x$ and $g(x) = 2x - 1$, what is $g(f(-2))$?

-17
-13
-8
-5

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Function Composition", "Composite Functions" ], "new_concepts": [], "current_concepts": [ "Function Composition", "Composite Functions" ] } ## Evaluate the inner function at the given input $$ f(-2) = 4(-2) = -8 $$ ## Evaluate the outer function at the resulting value $$ g(f(-2)) = g(-8) = 2(-8) - 1 = -16 - 1 = -17 $$

(A) $-17$

(B) $-13$

(C) $-8$

(D) $-5$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Function Composition" ] }

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QUESTION IMAGE

Question

Explanation:

Evaluate the inner function at the given input

Evaluate the outer function at the resulting value

Answer: