Question

What is the domain restriction of this expression?

(m-7)/(4m-20)

Answer:

m ≠ ____.

Answer 1

m ≠ 5

——

Explanation:

Make the equation equal to zero.

4m - 20 = 0

Solve for the restriction.

4m - 20 = 0

Add 20 to both sides.

4m = 20

Divide both sides by 4.

m = 5

Answer:

m ≠ 5

Answer 2

m ≠5

Explanation:

We cannot divide by zero, so the denominator cannot equal zero. That is the only restriction on the domain.

4m-20 ≠ 0

Add 20 to each side

4m-20+20 ≠20

4m ≠20

Divide each side by 4

4m/4 ≠20/4

m ≠5