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$Mathematics Hub$

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Senior High School Math Hub

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General Mathematics
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Lesson 13 : Domain and Range of Inverse Functions

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Domain and Range of Inverse Functions

2. Read the Module

3. Solve the LAS

4. Growth Mindset Focus

“You don’t have to understand everything today — you just have to improve a little more than yesterday.”

5. Take a Quiz

Test you knowledge and apply what you’ve learned through interactive quizzes and practice activities related to module 1.

Domain and Range of Inverse Functions

1 / 7

consider the function 𝑓(𝑥) = 3 / (𝑥−2). What is the inverse of the function?

(2𝑥−3) / 𝑥

(2𝑥+3) / 𝑥

𝑥 / (2𝑥−3)

𝑥 / (2𝑥+3)

2 / 7

consider the function 𝑓(𝑥) = 3 / (𝑥−2). What is the Range of the function?

a. {𝑦≠−2}

𝑏.{𝑦>0}

c.{𝑦≠3}

d. {𝑦≠0}

3 / 7

consider the function 𝑓(𝑥) = 3 / (𝑥−2). What is the domain of the function?

a. {𝑥≠3}

b. {𝑥≠0}

c. {𝑥≠2}

d. {𝑥≠−2}

4 / 7

Which of the following pair of functions is NOT the inverse of each other?

a. 𝑓(𝑥) = 5𝑥 and 𝑔(𝑥) = 𝑥/5

b. 𝑓(𝑥) = 2−3𝑥 𝑎nd 𝑔(𝑥) = (2−𝑥) / 3

c. 𝑓(𝑥) = x 𝑎nd 𝑔(𝑥) = 1/x

d. 𝑓(𝑥) = 𝑥^2 𝑎𝑎𝑎𝑎𝑎𝑎 𝑔(𝑥)=√𝑥

5 / 7

What is the domain and range of the function 𝑓(𝑥)=5𝑥+2?

a. The domain is all real numbers except 2 and the range is all real numbers except 0.

b. The domain is all real numbers and the range is all real numbers except 0.

c. The domain is all real numbers except 2 and the range is all real numbers.

d. The domain and range are all real numbers.

6 / 7

Which of the following is not allowed as the value of the independent variable under the square root sign?

a. zero

b. negative number

c. decimal number

d. fraction

7 / 7

What do you call to the resulting y-values after we have substituted in the possible x - values?

a. Range

b. Domain

c. Real Numbers

d. Inverse Function

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Domain and Range of Inverse Functions

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LAS - The Inverse of One-to-one Functions

11. General Mathematics Q1 - The Inverse of One-to-one Functions

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