How to find the domain of a function

Practice Questions

ACT Math › How to find the domain of a function

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10 of 12

1

What is the domain of the function defined as follows:
$f(t) = \frac{2t}{4-t^2}$

2

Which of the following represents the domain of the function $f(x) = \sqrt{3x + 12}$ ?

3

What is the domain of the following function?

$f(x) = \frac{4-x}{\sqrt[3]{3+x}}$

4

Find the domain of the function:

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

5

What is the domain of the given function?

$f(x)=\frac{x+6}{({x+3})^2}$

6

What is the domain of $f(x)=\sqrt{x+3}$ ?

7

What is the domain of $f(x)=\sqrt{|x+3|}$ ?

8

Find the domain of the following function:

$f(x)=\frac{x+6}{x-2}$

9

Which of the following represents the domain of where:

$f(x)=(x-2)^{\frac{4}{5}}+5$

10

Find the domain of the given function:

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

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