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3 years ago

Algebra 2! Help! I WILL GIVE BRAINLIEST!!!!

Mathematics

1 answer:

Papessa [141]3 years ago

7 0

Answer:

$f^{-1}(x)=\dfrac{2}{x+1}-2;$

the domain of the function $f^{-1}(x)$ is $(-\infty,-1)\cup(-1,\infty);$

the range of the function $f^{-1}(x)$ is $(-\infty,-2)\cup(-2,\infty).$

Step-by-step explanation:

To write the rule of inverse function you need to express x in terms of y and then change x into y and y into x.

$y=\dfrac{2}{x+2}-1,\\ \\\dfrac{2}{x+2}=y+1,\\ \\x+2=\dfrac{2}{y+1},\\ \\x=\dfrac{2}{y+1}-2.$

2. Change x into y and y into x:

$y=\dfrac{2}{x+1}-2,\\ \\f^{-1}(x)=\dfrac{2}{x+1}-2.$

3. The domain of the function $f(x)=\dfrac{2}{x+2}-1$ is $(-\infty,-2)\cup(-2,\infty)$ and the range is $(-\infty,-1)\cup(-1,\infty).$ Thus, the domain of the function $f^{-1}(x)$ is $(-\infty,-1)\cup(-1,\infty)$ and the range is $(-\infty,-2)\cup(-2,\infty)$

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3 years ago

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20 POINTS

noname [10]

Answer:

EXAMPLE

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Solution:

Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.

In this problem, do you understand what is being discussed? Do you understand every word?

Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!

In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18=12p

Multiply both sides by 2.

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2⋅18=2⋅1

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

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Multiply both sides by 2.

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2⋅18=2⋅12p

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$36. Does

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2 years ago

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iren2701 [21]

Answer:

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3 years ago

8.EE.5

olga2289 [7]

Answer:

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Step-by-step explanation:

The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:

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However, with certain graphs, the slope can be found in a simpler manner.

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3 years ago

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