2 years ago

F(x) = -2 and g(x) = 2x² + x-3, find (f +g)(x) .

Mathematics

1 answer:

tekilochka [14]2 years ago

8 0

Answer:

2x^2 + x - 5

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)=-2+2x^2 + x-3=2x^2 + x - 5

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Answer:

$\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }$

Step-by-step explanation:

Hello,

let's solve

$x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\$

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There are two solutions

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And

$x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}$

So we can write

$x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})$

Hope this helps.

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Step-by-step explanation:

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