Find inverse of a rational equation then determine domain and range

Find inverse of a rational equation then determine domain and range

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the process of finding the domain of a function, swapping variables, simplifying equations, and solving for Y. It explains how to handle variables in the denominator and the steps to isolate Y. The tutorial concludes with identifying the domain and range of the inverse function, emphasizing algebraic processes throughout.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the function discussed in the first section?

All real numbers except for two

All real numbers except for four

All real numbers

All real numbers except for zero

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the inverse of a function?

Multiply both sides by a constant

Swap the variables

Add a constant to both sides

Divide both sides by a constant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In solving multi-step equations, what is important about the variables?

They should be multiplied by a constant

They should be eliminated

They should be on the same side

They should be on opposite sides

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the inverse function?

All numbers except for two

All numbers except for four

All numbers except for zero

All numbers except for one

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is emphasized as the key process in the final section?

Numerical approximation

Geometric interpretation

Algebraic process

Graphical representation