find $f + g$, $f - g$, $fg$ and $\frac{f}{g}$. determine the domain for each function.

$f(x) = 6x + 1$, $g(x) = x - 3$

$(f + g)(x) = 7x - 2$ (simplify your answer.)

what is the domain of $f + g$?

a. the domain of $f + g$ is $(-\infty, \infty)$. (type your answer in interval notation.)
b. the domain of $f + g$ is $\{\quad\}$. (use a comma to separate answers as needed.)
c. the domain of $f + g$ is $\varnothing$.

$(f - g)(x) = \quad$ (simplify your answer.)

Question

find $f + g$, $f - g$, $fg$ and $\frac{f}{g}$. determine the domain for each function.

$f(x) = 6x + 1$, $g(x) = x - 3$

$(f + g)(x) = 7x - 2$ (simplify your answer.)

what is the domain of $f + g$?

a. the domain of $f + g$ is $(-\infty, \infty)$. (type your answer in interval notation.)
b. the domain of $f + g$ is $\{\quad\}$. (use a comma to separate answers as needed.)
c. the domain of $f + g$ is $\varnothing$.

$(f - g)(x) = \quad$ (simplify your answer.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Domain of Polynomials", "Interval Notation", "Function Operations" ], "new_concepts": [], "current_concepts": [ "Domain of Polynomials", "Interval Notation", "Function Operations" ] } ## Find the difference function $$ \begin{aligned} (f - g)(x) &= f(x) - g(x) \ &= (6x + 1) - (x - 3) \ &= 6x + 1 - x + 3 \ &= 5x + 4 \end{aligned} $$ $(f - g)(x) =$ $5x + 4$ (Simplify your answer.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Function Operations" ] }

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Find the difference function

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