Domain of a Function: Finding the Domain of a Square Root Function

Examples with solutions for Domain of a Function: Finding the Domain of a Square Root Function

Exercise #1

Look at the following function:

2x+202x10 \frac{2x+20}{\sqrt{2x-10}}

What is the domain of the function?

Video Solution

Answer

x > 5

Exercise #2

Look at the following function:

23x \frac{23}{\sqrt{x}}

What is the domain of the function?

Video Solution

Answer

x > 0

Exercise #3

Look at the following function:

3x2 \frac{3}{\sqrt{x-2}}

What is the domain of the function?

Video Solution

Answer

x > 2

Exercise #4

Look at the following function:

32x3 \frac{3}{\sqrt{2x-3}}

What is the domain of the function?

Video Solution

Answer

x > 1.5

Exercise #5

Look at the following function:

204x2 \frac{20}{\sqrt{4x-2}}

What is the domain of the function?

Video Solution

Answer

x > 0.5

Exercise #6

Look at the following function:

4x+8 \frac{4}{\sqrt{x+8}}

What is the domain of the function?

Video Solution

Answer

x > -8

Exercise #7

Look at the following function:

124x4 \frac{12}{\sqrt{4x-4}}

What is the domain of the function?

Video Solution

Answer

x > 1

Exercise #8

Look at the following function:

2x+2x+2.5 \frac{2x+2}{\sqrt{x+2.5}}

What is the domain of the function?

Video Solution

Answer

x > -\text{2}.5

Exercise #9

Look at the following function:

3x10 \frac{3}{\sqrt{x-10}}

What is the domain of the function?

Video Solution

Answer

x > 10

Exercise #10

Look at the following function:

5x5 \frac{5}{\sqrt{x-5}}

What is the domain of the function?

Video Solution

Answer

x > 5

Exercise #11

Look at the following function:

3x+125x10 \frac{3x+12}{\sqrt{5x-10}}

What is the domain of the function?

Video Solution

Answer

x > 2

Exercise #12

Look at the following function:

4x102.5x10 \frac{4x-10}{\sqrt{2.5x-10}}

What is the domain of the function?

Video Solution

Answer

x > 4

Exercise #13

Look at the following function:

2x+2x16 \frac{2x+2}{\sqrt{x-16}}

What is the domain of the function?

Video Solution

Answer

x > 16

Exercise #14

Look at the following function:

2x+22x8 \frac{2x+2}{\sqrt{2x-8}}

What is the domain of the function?

Video Solution

Answer

x > 4

Exercise #15

Look at the following function:

x+7x7 \frac{x+7}{\sqrt{x-7}}

What is the domain of the function?

Video Solution

Answer

x > 7

Exercise #16

(x3)(x+3)(x+3)(x3)=5 \sqrt{(x-3)(x+3)}\cdot\sqrt{(x+3)(x-3)}=5

Video Solution

Answer

2 2