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Lady_Fox [76]
3 years ago
13

Please help <3 Paula is writing short, casual notes for how to find the inverse of a function, f. Those notes are shown below

. 1. Write the equation. 2. Replace f(x) with y. 3. Switch x and y. 4. Solve the equation for y. a. If the result does not define y as a function of x, then f has an inverse. b. If the result defines y as a function of x, then f does not have an inverse. 5. Change y to f^−1(x) if f has an inverse. Are Paula's notes correct? If not, identify Paula's error. (1 point) Paula's notes are incorrect. Step 2 should be "Replace f(x) with x." Paula's notes are incorrect. Step 4a should be "If the result does not define y as a function of x, then f does not have an inverse," and step 4b should be "If the result defines y as a function of x, then f has an inverse." Paula's notes are correct. Paula's notes are incorrect. Step 4 should be "Solve the equation for x."
Mathematics
1 answer:
NARA [144]3 years ago
6 0

Answer:

(3rd listed choice) Paula's notes are incorrect. Step 4a should be "If the result does not define y as a function of x, then f does not have an inverse," and step 4b should be "If the result defines y as a function of x, then f has an inverse."

Step-by-step explanation:

If f(y) = x can be solved for a relation for y that is a function, then f(x) has an inverse. It will be the function defined by y.

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3 years ago
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tino4ka555 [31]

Explanation:

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tigry1 [53]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Multiplying Binomials: (−2h+9)(9h−2) = ?
oee [108]
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5 0
3 years ago
Sandra is 4 feet tall. Pablo is 10% taller than Sandra and Michaels is 8% taller than Pablo. What is Michael height in feet
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We first calculate  Pablo's height .

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x = 1%  (Where x is 1% of  Sandra's height.)

cross multiplying the equation, we get:

100x = 4 →  x = 4/100  → x = 0.04

If 1% = 0.04, then 10%  will be 0.04 × 10 = 0.4

Pablo's height is 4 + 0.4 =  4.4 feet.

Now we repeat the above steps to get Michal's height from Pablo's height

4.4 = 100%

x =  1%       so:

100x = 4.4 → x = 4.4/ 100 → x = 0.044

If 1% = 0.044, then 8% will be 0.044 × 8 = 0.35

Michael's height is  4.4 + 0.35 = 4.75 feet.

     



5 0
3 years ago
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