Inverse Function Quiz

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

• Multiply both sides by the denominator

• Switch the x and y variables

• Add 5 to both sides

• Factor out the y variable

How do you clear the fraction in the equation x = (5y - 3) / (3y + 1)?

• Divide both sides by x

• Subtract 5y from both sides

• Multiply both sides by 3y + 1

• Add 3 to both sides

What should you do after distributing x in the equation 3xy + x = 5y - 3?

• Add x to both sides

• Subtract 5y from both sides

• Multiply both sides by 3

• Divide both sides by y

What is the purpose of factoring out y in the equation 3xy - 5y = -3 - x?

• To isolate y on one side

• To simplify the equation

• To eliminate x from the equation

• To add 3 to both sides

What does the notation f^(-1)(x) represent?

• The original function

• The derivative of the function

• The inverse of the function

• The integral of the function