Restricted Values in Equations

What is a restricted value in an equation?

• Values that make the equation positive

• Values that make the equation equal to zero

• Values that make the equation undefined or result in division by zero

• Values that make the equation negative

How do you solve for restricted values in equations?

• Add the values to the domain of the equation

• Ignore the values that make the denominator of a fraction or the radicand of a square root equal to zero

• Include all values in the domain of the equation

• Identify the values that would make the denominator of a fraction or the radicand of a square root equal to zero, and then exclude those values from the domain of the equation.

Find the restricted values for the equation: (x^2 - 9) / (x - 3)

• 0

• 3

• 2

• 1

Determine the restricted values for the equation: (2x + 5) / (x^2 - 4)

• x cannot be equal to 3 or -3

• x cannot be equal to 5 or -5

• x cannot be equal to 0 or 1

• x cannot be equal to 2 or -2

Solve for the restricted values in the equation: (3x - 6) / (x^2 - 9)

• x = 2

• x = 3, x = -3

• x = 1

• x = 0

What are the restricted values for the equation: (x^2 - 4) / (x + 2)

• x = 1

• x = -2

• x = 0

• x = 4

Calculate the restricted values for the equation: (4x - 12) / (x^2 - 16)

• x = 8

• x = 4, x = -4

• x = 2

• x = 0

Find the restricted values for the equation: (2x^2 - 18) / (x^2 - 9)

• x cannot be equal to 0 or 1

• x cannot be equal to 4 or -4

• x cannot be equal to 5 or -5

• x cannot be equal to 3 or -3

Determine the restricted values for the equation: (5x - 15) / (x^2 - 25)

• x cannot be equal to 0

• x cannot be equal to 10

• x cannot be equal to 1

• x cannot be equal to 5 or -5

Solve for the restricted values in the equation: (x^2 - 1) / (x - 1)

• 0

• 1

• -1

• 2