Inverse of a linear equation with fraction

The video tutorial covers the process of swapping variables and solving equations, particularly focusing on solving for Y. It explains the importance of correctly multiplying fractions and using function notation to express inverses. The tutorial also discusses the domain and range of linear functions, emphasizing that both are all real numbers. The video aims to clarify common mistakes and ensure students understand the concepts of function notation and inverses.

What is the first step when you need to solve for Y after swapping variables?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply by 3/4

• Divide by 3/4

When solving the equation X + 5 = 3/4 Y, what is the correct method to isolate Y?

• Subtract 3/4

• Add 4/3

• Multiply by 4/3

• Multiply by 3/4

Why is it incorrect to multiply only X by 4/3 in the equation X + 5?

• It results in a division by zero

• It ignores the constant term

• It simplifies the equation incorrectly

• It changes the variable

What is the function notation for the inverse of Y in the equation discussed?

• F of X

• G inverse of X

• F inverse of X

• G of X

What is the domain and range of a linear function?

• Positive numbers only

• Negative numbers only

• All real numbers

• Integers only