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EastWind [94]
2 years ago
11

Let f(x) = x2 − 16. Find f−1(x)

Mathematics
1 answer:
Yanka [14]2 years ago
3 0

Answer:

f^{-1}(x)=\pm\sqrt{x+16}

Step-by-step explanation:

f(x)=x^2-16

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}

Now, you can swap the variables again and write the function.

f^{-1}(x)=\pm\sqrt{x+16}

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a veterinarian needs to know animals weight in kilograms. if 20 pounds is about 9 kilograms and a dog weights 30 pounds, use a r
ahrayia [7]

For this case we have the following conversion:

20 pounds = 9 kilograms

To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.

For example, half the weight in pounds is half the weight in kilograms.

Therefore, the given conversion is:

10 pounds = 4.5 kilograms

So, for 30 pounds, we multiply this last ratio obtained by three on both sides:

30 pounds = 13.5 kilograms

Then, the table is:

Pounds 10 20 30

kilograms 4.5 9 13.5

Answer:

Using the ratio table the dogs weight is:

30 pounds = 13.5 kilograms

3 0
3 years ago
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The ratio of men to women working for a company is 3 to 4. If there are 112 employees total, how many work for the company ​
Ksenya-84 [330]

Answer:

112

Since you stated 112 employees work for the company, and your question was how many work for the company, it is definetly

112.

6 0
3 years ago
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analyze the diagram below and complete the instructions that follow . find the value of z. A.11 B.32 C.50 D.68​
masha68 [24]

Answer:

50

Step-by-step explanation:

x = √30² - 18² = √576 = 24

tan A = 18/24 = 3/4

∠A = ∠B

tan B = tan A = 24 / y = 3 / 4

y = (24 x 4) / 3 = 32

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3 0
3 years ago
Jamal and Sean plan to make T-shirts to sell at a fair. Jamal plans to make 6 T-shirts
Butoxors [25]

Answer:

Jamal will have made 12 more T-shirts than Sean on the 6th day.

Step-by-step explanation:

1 day for Jamal - 6 T-shirts.                                                                                        1 day for Sean - 4 T-shirts.                                                                                               2 day for Jamal - 12 T-shirts.                                                                                                  2 day for Sean - 8 T-shirts.                                                                                                     3 day for Jamal - 18 T-shirts.                                                                                              3 day for Sean - 12 T-shirts.                                                                                               4 day for Jamal - 24 T-shirts.                                                                                                  4 day for Sean - 16 T-shirts.                                                                                                   5 day for Jamal - 30 T-shirts.                                                                                                5 day for Sean - 20 T-shirts.                                                                                             6 day for Jamal - 36 T-shirts.                                                                                                   6 day for Sean - 24 T-shirts.                                                                                           Number between 24 and 36 = 12.

3 0
2 years ago
I don't get it like i don't even know what i'm looking at
Tatiana [17]

Answer:

Answer(s): <u>15m</u>

<u>20(m-0.25m)</u>

Step-by-step explanation:

5 0
2 years ago
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