what is the domain of $y = \log_{4}(x + 3)$?

all real numbers less than $-3$
all real numbers greater than $-3$
all real numbers less than $3$
all real numbers greater than $3$

Question

what is the domain of $y = \log_{4}(x + 3)$?

all real numbers less than $-3$
all real numbers greater than $-3$
all real numbers less than $3$
all real numbers greater than $3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Domain of Logarithmic Functions" ], "new_concepts": [], "current_concepts": [ "Domain of Logarithmic Functions", "Logarithmic Functions" ] } ## Set up the domain inequality Using the *Domain of Logarithmic Functions* knowledge point $$ x + 3 > 0 $$ ## Solve the inequality for x Using the *Domain of Logarithmic Functions* knowledge point $$ x > -3 $$

all real numbers less than $-3$

all real numbers greater than $-3$

all real numbers less than $3$

all real numbers greater than $3$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Domain of Logarithmic Functions" ] }

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Question

Explanation:

Set up the domain inequality

Solve the inequality for x

Answer: