let $f(x) = 6x + 5$ and $g(x) = 9x - 4$. find the function.

$f - g$

$(f - g)(x) = $

find the domain. (enter your answer using interval notation.)

Question

let $f(x) = 6x + 5$ and $g(x) = 9x - 4$. find the function.

$f - g$

$(f - g)(x) = $

find the domain. (enter your answer using interval notation.)

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Function Subtraction", "Domain of a Function", "Interval Notation" ], "new_concepts": [], "current_concepts": [ "Function Subtraction", "Domain of a Function", "Interval Notation" ] } ## Find the difference function $$ \begin{aligned} (f-g)(x) &= f(x) - g(x) \ &= (6x + 5) - (9x - 4) \ &= 6x + 5 - 9x + 4 \ &= -3x + 9 \end{aligned} $$ ## Determine the domain of the function $$ \begin{aligned} &\text{Since } (f-g)(x) = -3x + 9 \text{ is a polynomial, its domain is all real numbers.}\ &\text{Domain} = (-\infty, \infty) \end{aligned} $$ ## Question 1 Let $f(x) = 6x + 5$ and $g(x) = 9x - 4$. Find the function $f - g$. $(f - g)(x) =$ $-3x + 9$ ## Question 2 Find the domain. (Enter your answer using interval notation.) $(-\infty, \infty)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Function Subtraction" ] }

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Question

Explanation:

Find the difference function

Determine the domain of the function

Answer:

Question 1

Question 2