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3 years ago

If f(x) = 5-2x^3 and f^-1 denotes the inverse function of f, then f^-1(x)= ?

1 answer:

7 0

$f(x)=5-2x^3\\
y=5-2x^3\\
2x^3=-y+5\\
x^3=-\dfrac{y-5}{2}\\
x=\sqrt[3]{-\dfrac{y-5}{2}}=-\sqrt[3]{\dfrac{y-5}{2}}\\
f^{-1}(x)=-\sqrt[3]{\dfrac{x-5}{2}}$

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Finger [1]

Answer:

$x=\frac{8}{3}$

Step-by-step explanation:

$\frac{3}{4} x+5=7$

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3 years ago

King sporting good have tow bikes on sale. One costs $89.98 and another costs $99.99 . What is the difference in the price of th

krok68 [10]

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Step-by-step explanation:

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3 years ago

two different floor plans are being offered in a new housing development. several prospective buyers from three different age gr

Lesechka [4]

<h3>Answer: Approximately 0.677</h3>

Explanation:

Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677

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3 years ago