High School

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!


Use the graphs of f(x) = 2/x and g(x) = 1/-3-x to determine the solutions to f(x) = g(x).

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE Use the graphs of f x 2 x and g x 1 3 x to determine the solutions

Answer :

Answer: A) (-2, -1)

Step-by-step explanation:

At which coordinate to the graphs intersect? (-2, -1)

We can check this by solving the f(x) = g(x)

[tex]\dfrac{2}{x}=\dfrac{1}{-3-x}\\\\\\\text{Cross multiply}:\\2(-3-x)=1(x)\\\\\\\text{Distribute}:\\-6-2x=x\\\\\\\text{add 2x to both sides}:\\-6=3x\\\\\\\text{Divide both sides by 3}:\\-2 = x\\\\\\\text{Substitute x = -2 into either f(x) or g(x) to solve for y}:\\y=\dfrac{2}{x}=\dfrac{2}{-2}=-1\\\\\\\text{Solution of (-2, -1) is verified}\ \checkmark[/tex]

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