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Vedmedyk [2.9K]
2 years ago
10

I don’t understand this

Mathematics
1 answer:
tatyana61 [14]2 years ago
8 0

9514 1404 393

Answer:

  f⁻¹(x) = √((3 -x)/3)

Step-by-step explanation:

A function gives you a y-value for each value of x.

  y = f(x)

__

An inverse function tells you the x value that produced a given y-value. It is the solution to the equation ...

  x = f(y)

So, we want to find y for ...

  x = -3y² +3

  x -3 = -3y² . . . . . . . . . . . subtract 3

  (x -3)/-3 = y² . . . . . . . . . divide by -3

  √((x -3)/-3) = y . . . . . . . take the square root.

The requirement for x > 0 in the original function means y > 0 for the inverse function. That is why we use the positive square root.

This can be simplified a little bit to remove the minus sign from the denominator.

  f⁻¹(x) = √((3 -x)/3)

__

The graph plots the function and its inverse. They are reflections of each other over the line y=x. (That's one way you can tell you have the correct inverse function.)

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Answer:

0.8

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3 years ago
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Answer:

<em><u>9</u></em><em><u>0</u></em><em><u>. </u></em><em><u>(</u></em><em><u> </u></em><em><u>was </u></em><em><u>the </u></em><em><u>full </u></em><em><u>capacity</u></em><em><u> of</u></em><em><u> </u></em><em><u>jug</u></em><em><u>)</u></em>

<em><u>to </u></em><em><u>solve </u></em><em><u>this</u></em><em><u> </u></em>

<em><u>firstly</u></em><em><u> </u></em><em><u>let </u></em><em><u>the </u></em><em><u>full </u></em><em><u>capacity</u></em><em><u> </u></em><em><u>of </u></em><em><u>jug </u></em><em><u> </u></em>

<em><u> </u></em><em><u> </u></em>

<em><u>be</u></em><em><u>. </u></em><em><u>x</u></em>

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<em><u>4</u></em><em><u>/</u></em><em><u>5</u></em><em><u>*</u></em><em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>7</u></em><em><u>2</u></em>

<em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>7</u></em><em><u>2</u></em><em><u>*</u></em><em><u>5</u></em><em><u>/</u></em><em><u>4</u></em>

<em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>9</u></em><em><u>0</u></em>

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6 0
2 years ago
-2.8 repeating as a fraction
Marizza181 [45]
0.8888888 = 8/9
2.8888888 = 26/9
-2.888888 = -26/9
3 0
3 years ago
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