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elena55 [62]
3 years ago
15

Verify that f and g are inverse functions algebraically and graphically.

Mathematics
1 answer:
Liula [17]3 years ago
8 0
The answer is 9x yasssss!!!
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Assume that y varies inversely with x. If y=1/3 when x=1/2, find y when x=1/4.
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Answer:

y = \frac{2}{3}

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = \frac{1}{3} when x = \frac{1}{2} , thus

\frac{1}{3} = \frac{k}{\frac{1}{2} } = 2k ( divide both sides by 2 )

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y = \frac{1}{6x} ← equation of variation

When x = \frac{1}{4} , then

y = \frac{1}{6(\frac{1}{4}) } = \frac{1}{\frac{3}{2} } = \frac{2}{3}

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