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2 years ago

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Which functions could represent a reflection over the y-axis of the given function? Check all that apply. g(x) = –(4)x g(x) = 0.

5(4)–x g(x) = 2(4)x g(x) = x g(x) = –x

1 answer:

Sholpan [36]2 years ago

7 0

Answer:

b and d

Step-by-step explanation:

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2 years ago

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sp2606 [1]

$\displaystyle\\Answer:\ x=\sqrt{2}\ \ \ \ \ x=-\sqrt{2}\ \ \ \ \ x=\frac{ln5}{2}$

Step-by-step explanation:

$5x^2-x^2e^{2x}+2e^{2x}=10$

$Let:\ x^2=t \ \ \ \ \ e^{2x}=v\\Hence,\\5t-tv+2v^2=10\\5t-tv+2v^2-10=10-10\\5t-tv-10+2v^2=0\\t(5-v)-2(5-v)=0\\(5-v)(t-2)=0\\5-v=0\\5-v+v=0+v\\5=v\\5=e^{2x}$

<em>Prologarithmize both parts of the equation:</em>

$ln5=lne^{2x}\\ln5=2x*lne\\ln5=2x*1\\ln5=2x\\$

<u><em> Divide both parts of the equation by 2:</em></u>

$\displaystyle\\x=\frac{ln5}{2}$

$t-2=0\\t-2+2=0+2\\t=2\\x^2=2\\x=\sqrt{2} \\x=-\sqrt{2}$

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9 months ago