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2 years ago

Finding the inverse function for f(x)=1/x^2

Mathematics

1 answer:

Anna [14]2 years ago

4 0

to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".

$\stackrel{f(x)}{y}=\cfrac{1}{x^2}\implies \stackrel{\textit{quick switcheroo}}{x=\cfrac{1}{y^2}}\implies y^2=\cfrac{1}{x}\implies y=\sqrt{\cfrac{1}{x}}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{1}{\sqrt{x}}$

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1 year ago

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Answer:

The answer is (Choice C) It is just right.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A) It is too strong. (Choice B) It is too weak. (Choice C) It is just right.

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If, Peggy made a 12-liter batch of iced tea with 90 tea bags.

Then, Peggy would made a 1-liter batch of iced tea with = $\frac{90}{12} =7.5\ tea\ bags.$

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Then, Kermit would made a 2 liter of iced tea with = $\frac{15}{2} =7.5\ tea\ bags.$

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