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Amiraneli [1.4K]
3 years ago
9

Select the correct answer

Mathematics
1 answer:
solong [7]3 years ago
3 0

Answer: OPTION C.

Step-by-step explanation:

Given the functions:

f(x)=2x^2-x-6\\\\g(x)=x^2-4

We need to divide f(x) by g(x) in order to find f(x)÷g(x). Then:

f(x)÷g(x)=\frac{2x^2-x-6}{x^2-4}

Factorizing and simplifying, we get:

f(x)÷g(x)=\frac{(2x+3)(x-2)}{(x+2)(x-2)}

f(x)÷g(x)=\frac{2x+3}{x+2} 

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