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ddd [48]
3 years ago
11

What’s the inverse of f(x) = -2 + 2/3x

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

So the steps to find the inverse are:

  1. Change f(x) to y
  2. Switch the positions of x and y
  3. Solve for y
  4. Change y to f^-1(x)

f(x)=-2+ \frac{2}{3}x\\\\y=-2+ \frac{2}{3}x\\\\x=-2+ \frac{2}{3}y

Now let's solve for y as such:

x=-2+ \frac{2}{3}y \\\\x+2=\frac{2}{3}y\\\\\frac{3}{2} (x+2)=y\\\\\frac{3}{2}x+3=y\\\\\frac{3}{2}x+3=f^{-1}(x)

<u>Your inverse is f^-1(x) = 3/2x + 3</u>

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3 0
3 years ago
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Illusion [34]

Answer:

19)  ( \frac{-2}{5})^2 = \frac{4}{25}

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Step-by-step explanation:

The only wrong ones are

19)  ( \frac{-2}{5})^2 = \frac{4}{25}

20) -9^{2} = -81 ... negative is not inside a parenthesis that's why it is still negative

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Everything else looks good.  Great job!

4 0
2 years ago
Help! Please!
Elan Coil [88]
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5 0
3 years ago
7 times the difference of x and 8
Thepotemich [5.8K]

Answer:

7(x - 8)

Step-by-step explanation:

times means multiplication

difference means subtraction

7 times the difference of x and 8 -> 7 * (x - 8) -> 7(x - 8)

Simplify if needed.

7(x - 8)

~Distribute

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Best of Luck!

8 0
3 years ago
HELP I DONT KNOW! I SUCK AT MATH
pogonyaev

Answer:

C

Step-by-step explanation:

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6 0
3 years ago
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