consider the function $f(x) = \sqrt{5x - 5} + 1$

which inequality is used to find the domain?

$5x - 4 \ge 0$

$\sqrt{5x - 5} + 1 \ge 0$

$5x \ge 0$

$5x - 5 \ge 0$

Question

consider the function $f(x) = \sqrt{5x - 5} + 1$

which inequality is used to find the domain?

$5x - 4 \ge 0$

$\sqrt{5x - 5} + 1 \ge 0$

$5x \ge 0$

$5x - 5 \ge 0$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Domain of Square Root Functions" ], "new_concepts": [], "current_concepts": [ "Domain of Square Root Functions" ] } ## Identify the radicand of the square root function $$ f(x) = \sqrt{5x - 5} + 1 $$ The radicand is $5x - 5$. ## Set up the domain inequality $$ 5x - 5 \ge 0 $$

(A) $5x - 4 \ge 0$

(B) $\sqrt{5x - 5} + 1 \ge 0$

(C) $5x \ge 0$

(D) $5x - 5 \ge 0$

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

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QUESTION IMAGE

Question

Explanation:

Identify the radicand of the square root function

Set up the domain inequality

Answer: