Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1. x g(x) 1 2 2 1 3 0 x g(x)<

Question

Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1.

x g(x)
1 2
2 1
3 0

x g(x)
1 2
2 5
3 8

x g(x)
1 5
2 8
3 11

x g(x)
1 0
2 3
3 6

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Gianna 6 days 2021-10-13T05:14:32+00:00 2 Answers 0

Answers ( )

    0
    2021-10-13T05:16:04+00:00

    Answer:

    D

    Step-by-step explanation:

    0
    2021-10-13T05:16:08+00:00

    \bf f(x)=x-1\qquad \qquad g(x)=3\cdot f(x)\implies g(x)=\underline{3(x-1)} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} x&g(x)\\ \cline{1-2} 1&0\\2&3\\3&6 \end{array}\qquad \qquad (\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6})

    \bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-0}{3-1}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=3(x-1)\implies y=\underline{3(x-1)}

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