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Ilia_Sergeevich [38]
3 years ago
9

Please help! I will give Brainliest!

Mathematics
2 answers:
lubasha [3.4K]3 years ago
8 0

Answer:

a

Step-by-step explanation:

3/15 simplifies to 1/5

andrew-mc [135]3 years ago
3 0
A because 3/15 simplifies to 1/5
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Given f (x)=2x-5x-3 and g (x)=2x^2+x what is (f/g)(x)<br>​
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ANSWER

( \frac{f}{g} )(x ) =   \frac{x - 3}{x}  \: where \:  \: x \ne0, -  \frac{1}{2}

EXPLANATION

Given:

f(x) = 2 {x}^{2}  - 5x - 3

and

g(x) = 2 {x}^{2}  + x

Then,

( \frac{f}{g} )(x ) =  \frac{f(x)}{g(x)}

Substitute the given functions;

( \frac{f}{g} )(x )  =  \frac{2 {x}^{2} - 5x - 3}{2 {x}^{2}  + x}

Factor

( \frac{f}{g} )(x ) =  \frac{2 {x}^{2} - 6x + x - 3 }{x(2x + 1)}

( \frac{f}{g} )(x ) =   \frac{2x(x - 3) +1 (x - 3)}{x(2x + 1)}

( \frac{f}{g} )(x ) =   \frac{(2x + 1)(x - 3) }{x(2x + 1)}

Cancel the common factors.

( \frac{f}{g} )(x ) =   \frac{x - 3}{x}  \: where \:  \: x \ne0, -  \frac{1}{2}

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Step-by-step explanation:

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