Inverse Functions Quiz

What is the basic concept of an inverse function?

• Dividing the function by 2

• Multiplying the function by -1

• Swapping the input and output values

• Adding a constant to the function

How do you find the inverse of a relation?

• By adding all the points together

• By swapping the x and y values of each point

• By multiplying each point by 2

• By subtracting 1 from each point

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

• Add 1 to the function

• Multiply the function by 2

• Replace f(x) with y

• Divide the function by x

When solving for the inverse of a linear function, what do you do after swapping x and y?

• Divide both sides by x

• Add 1 to both sides

• Multiply both sides by 2

• Solve for the new y

What is the inverse of the function f(x) = 2x + 1?

• x + 1

• x - 1

• (x - 1) / 2

• 2x - 1

How do you handle the square root when finding the inverse of a function?

• Divide by the square root

• Square both sides

• Add it to both sides

• Ignore it

What must you remember to include when taking the square root of both sides?

• A division by x

• An addition of 3

• A multiplication by 2

• A plus or minus sign

What is the inverse of the function f(x) = √(x + 3)?

• x^2 - 3

• x^2 + 3

• x - 3

• √(x - 3)

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

• Replace g(x) with y

• Multiply by 3

• Divide by 2

• Add 7 to both sides

What is the inverse of the function g(x) = ∛(x + 7)?

• x^3 / 2

• x^3 + 7

• 2x^3 - 7

• x^3 - 7