Question

(02.05 mc) choose the table that represents g(x)=4·f(x) when f(x)=x - 5. a x g(x) 1 -4 2 -3 3 -2 b x g(x) 1 -16 2 -12 3 -8 c x g(x) 1 -20 2 -18 3 -16 d x g(x) 1 -1 2 -2 3 -3

Explanation:

Step1: Find formula for g(x)

Given \(f(x)=x - 5\) and \(g(x)=4\cdot f(x)\), then \(g(x)=4(x - 5)=4x-20\).

Step2: Calculate g(x) for x = 1

Substitute \(x = 1\) into \(g(x)=4x - 20\), \(g(1)=4\times1-20=4 - 20=-16\).

Step3: Calculate g(x) for x = 2

Substitute \(x = 2\) into \(g(x)=4x - 20\), \(g(2)=4\times2-20=8 - 20=-12\).

Step4: Calculate g(x) for x = 3

Substitute \(x = 3\) into \(g(x)=4x - 20\), \(g(3)=4\times3-20=12 - 20=-8\).

Answer:

B.

x	g(x)
2	-12
3	-8