the functions $f$ and $g$ are defined as follows.

\f(x) = 3x^2 - 3x \quad g(x) = -5x + 4\

find $f(-2)$ and $g(6)$.

simplify your answers as much as possible.

Question

the functions $f$ and $g$ are defined as follows.

\f(x) = 3x^2 - 3x \quad g(x) = -5x + 4\

find $f(-2)$ and $g(6)$.

simplify your answers as much as possible.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Function Evaluation", "Evaluating Quadratic Functions", "Evaluating Linear Functions" ], "current_concepts": [ "Function Evaluation", "Evaluating Quadratic Functions", "Evaluating Linear Functions" ] } ## Evaluate f(-2) $$ \begin{aligned} f(-2) &= 3(-2)^2 - 3(-2) \ &= 3(4) + 6 \ &= 12 + 6 \ &= 18 \end{aligned} $$ ## Evaluate g(6) $$ \begin{aligned} g(6) &= -5(6) + 4 \ &= -30 + 4 \ &= -26 \end{aligned} $$ The functions $f$ and $g$ are defined as follows. $f(x) = 3x^2 - 3x$ $g(x) = -5x + 4$ Find $f(-2)$ and $g(6)$. Simplify your answers as much as possible. $f(-2) =$ 18 $g(6) =$ -26 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Function Evaluation" ] }

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QUESTION IMAGE

Question

Explanation:

Evaluate f(-2)

Evaluate g(6)

Answer: