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valina [46]
3 years ago
6

Evaluate functions g(0)=-x-2

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

g(0) = -2

Step-by-step explanation:

g(x) = -x - 2

To find g(0), replace x with 0 in the equation.

g(0) = -0 - 2 = -2

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Adjacent=6 opposite=8 what is the hypotenuse
Umnica [9.8K]

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Ksenya-84 [330]
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Check down the image that’s give below
gregori [183]

<u>Solution</u><u>:</u>

\frac{3x}{ {x}^{2}  + 6x + 9} +  \frac{x + 3}{ {x}^{2} - 9 }

In the first fraction, we have to factorise the denominator using (a + b)² = a² + 2ab + b². And in the second fraction, we have to factorise the denominator using a² - b² = (a - b)(a + b) identity.

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

From the second fraction, cancel out from both sides (x + 3), the we get:

=  \frac{3x}{(x + 3) ^{2} } +  \frac{1}{(x - 3)}   \\    =  \frac{3x(x - 3) + 1(x + 3) ^{2} }{(x + 3)^{2} (x - 3)}  \\  =  \frac{3x ^{2}  - 9 x+  {x}^{2}  + 6x + 9}{ {(x + 3)}^{2} (x - 3)}  \\  =  \frac{ {4x}^{2}  - 3x  + 9}{(x + 3)(x + 3)(x - 3)}

<u>Answer</u><u>:</u>

<u>\frac{ {4x}^{2}  - 3x  + 9}{(x + 3)(x + 3)(x - 3)}</u>

Hope you could understand.

If you have any query, feel free to ask.

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