3 years ago

Solve the quadratic function by completing the square 2x^2+8x+14=0

1 answer:

7 0

$2x^2+8x+14=0 \\\\x^2+4x+7=0\\\\x^2+4x+4+3=0\\\\(x+2)^2=-3\\\\x+2=\sqrt{-3} \vee x+2=-\sqrt{-3}\\\\x=-2+\sqrt3i \vee x=-2-\sqrt3 i$

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3 years ago

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Answer:

In a nutshell, $g(x) = x+2$ .

Step-by-step explanation:

A composition is operation between function that consist in replacing the independent variable of the first function, $f(x)$ in this case, for $g(x)$ . Common notations for composition between functions are $f(g(x))$ and $f\circ g (x)$ . If we know that $h(x) = f\circ g (x) = (x+2)^{2}$ and $f(x) = x^{2}$ , then $g(x) = x+2$ .