How to find the domain of a function

Practice Questions

SAT Math › How to find the domain of a function

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1

Which of the following functions has a domain that includes all real values of ?

2

Let .

If and are both negative integers larger than negative five, what is the smallest value possible for ?

3

What is the domain of the function f(x) = 2/(7x – 1) ?

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

Domainsqrt1

7

Let $f(x) = (x^3 - 3x^2 + 2x)^{-1}$ . The domain of includes which of the following?

I. 1

II. 2

III. –1

8

Which of the following represents the domain of where:

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

9

Find the domain of the following function.

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

10

Find the domain of the given function:

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

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