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HELPPP ASPPP PLZZ Select the correct answer

HELPPP ASPPP PLZZ Select the correct answer-example-1
User Sadri
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1 Answer

2 votes

Answer: Choice C


(2x+3)/(x+2)

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Work Shown:


h(x) = f(x) / g(x)\\\\h(x) = (f(x))/(g(x))\\\\h(x) = (2x^2-x-6)/(x^2-4)\\\\h(x) = ((x-2)(2x+3))/((x-2)(x+2))\\\\h(x) = (2x+3)/(x+2)\\\\

Optional Extra Info:

Keep in mind that
x \\e 2 and
x \\e -2 to avoid division by zero errors. We can plug in x = 2 just fine into the simplified version of h(x), but we always need to go back to the original.

User Twentyonehundred
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7.0k points