How to find the domain of a function

Practice Questions

Algebra 1 › How to find the domain of a function

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1

Give the domain of the function below.

$f(x) = \frac{1}{\sqrt{x^{2}+1}}$

2

Find the domain of the following function:

$f(x)=\frac{4x^2+3}{x-9}$

3

Find the domain of the function:

$f(x)=\sqrt{x^{2}-9}$

4

Find the domain of .

5

Find the domain of the following function:

$\frac{x+4}{x^2}$

6

You are given a relation that comprises the following five points:

$\left {(1,2), (3,N), (5,4), (N+3, 9), (2N-1, 10) \right }$

For which value of is this relation a function?

7

What is the domain of $y=-\sqrt{x+2}$

8

What is the domain of $y=\sqrt{4x+7}$ ?

9

What is the domain of the the following function?

$f(x)= \frac{x^{2}-2x}{x}$

10

What is the domain of the function $f(x)=\frac{2x}{x-2}$ ?

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