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Scorpion4ik [409]
3 years ago
13

If f(x) = -4x2 - 6x-1 and g(x) = – x2 - 5x + 3, find (f+ g)(x).

Mathematics
2 answers:
Anastaziya [24]3 years ago
7 0

Answer:

   -5x^2 -11x +2

Step-by-step explanation:

f(x) = -4x^2 - 6x-1

g(x) = – x^2 - 5x + 3,

Add them together

f(x) =     -4x^2 - 6x-1

+ g(x) = – x^2 - 5x + 3,

-----------------------------------

        -5x^2 -11x +2

ziro4ka [17]3 years ago
4 0

Answer:

- 5x² - 11x + 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= - 4x² - 6x - 1 + (- x² - 5x + 3)

= - 4x² - 6x - 1 - x² - 5x + 3 ← collect like terms

= - 5x² - 11x + 2

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Solve using addition method<br><br> 3x-3y+2z=7<br> 3x+y-3z=-5<br> 7x-y-2z=0
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3x - 3y + 2z = 7  
3x + 1y - 3z = -5  ⇒ 6x - 2y - 1z = 2 ⇒ 42x - 14y -   7z = 14
7x  - 1y - 2z = 0   ⇒ 7x - 1y - 2z = 0 ⇒ <u>42x -   6y - 12z = 0    </u>
                                                                      -20y - 19z = 14
                                                            -20y + 20y - 19z = 14 + 20y
                            <u />                                                   <u>-19z</u> = <u>14 + 20y</u>
                                                                                -19         -19
                                                                                    z = -14/19 - 1 1/19y
                                         3x - 3y + 2(-14/19 - 1 1/19y) = 7
                                              3x - 3y - 1 9/19 - 2 2/19y = 7
                                                     3x - 5 2/19y - 1 9/19 = 7
                                                     <u>      +1 9/19  +1 9/19        </u>
                                                                   3x - 5 2/19y = 8 9/19
                                                            3x - 3x - 5 2/19y = 8 9/19 - 3x
                             <u />                                            <u>-5 2/19y</u> = <u>8 9/19 - 3x</u> 
                                                                         -5 2/19        -5 2/19
                                                                                     y = -1 64/97 + 57/97x
             3x - 3(-1 64/97 + 57/97x) + 2(-14/19 - 1 1/19y) = 7
                    3x + 4 95/97 + 1 74/97x - 1 9/19 - 2 2/19y = 7
                               4 74/97x - 2 2/19y + 3.5056972328 = 7
                               <u>                                -3.5056972328   -3.5056972328</u>
                                                          4 74/97x - 2 2/19y = 3.494302767
                                          4 74/97x + 2 2/19y - 2 2/19y = 3.494302767 + 22/19y
                                                                          <u>4 74/97x</u> = <u>3.494302767 + 2 2/19</u>
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3(0.733652316 + 0.4420141262y) - 3(-1 64/97 + 57/97x) + 2(-14/19 - 1 1/19y)=7
          2.200956948 + 1.326042379y + 4 95/97 - 1 74/97x - 1 9/19 - 2 2/19y = 7                             -1 74/97x - 0.7792207789y + 5.706654181 = 7
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                                                     -1 74/97x - 0.7792207789y = 1.293345820
(x, y, z) = (0.733652316 + 0.4420141262, -1 64/97 + 57/97x, -14/19 - 1 1/19y)

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