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Evgen [1.6K]
3 years ago
9

If f(x) = x/4 -3 and g(x)= 4x^2+2x-4 find (f+g)( x)

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0
We have that

<span>f(x) = x/4 -3
g(x)= 4x</span>²<span>+2x-4
find (f+g)( x)

step 1
adding the two functions together to create a new function.
[x/4 -3]+[4x²+2x-4]  

step 2
making everything have a common denominator of 4 we get:
[(x-12+16x²+8x-16)]/4  

step3
combine like terms in numerator
(16x²+9x-28)/4-----------> 4x²+(9/4)x-7

the answer is </span>4x²+(9/4)x-7
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The complex solutions are

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

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<u><em>Step(ii):-</em></u>

<u><em></em></u>x =  (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} ,  \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})<u><em></em></u>

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x =  (\frac{7-\sqrt{35}  i }{42} ,  \frac{7 + \sqrt{35} i }{42})

<u><em></em></u>

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