How to find excluded values

Practice Questions

PSAT Math › How to find excluded values

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1

Define the function as follows:

$f (x) = \frac{x^{2}- 1}{3x- 2}$

Give the domain of .

2

Define the function on the set of real numbers as follows:

$g(x) = \frac{\sqrt{x+ 3}}{x- 4}$

Give the domain of .

3

Define the function on the real numbers as follows:

$f(x) = \frac{x- 7}{\sqrt{10-x}}$

Give the domain of .

4

Define the function as follows:

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

Give the domain of .

5

Define the function as follows:

$h(x) = \frac{x-6}{x^{2}- 9}$

Give the domain of .

6

Given the expression, $\frac{x^{2}-4}{x^2-x-2}$ , which value CANNOT be equal to ?

7

Define the function on the set of real numbers as follows:

$h (x) =\frac{ \sqrt{x-1}}{x^{2}-3x-4}$

Give the domain of .

8

Define the function as follows:

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

Give the domain of .

9

Define the functions and as follows:

$f(x) = \frac{5}{x-4}$ and $g(x) = \frac{2x-8}{x-7}$

Give the domain of the function .

10

Define the function as follows:

$f(x)=\frac{x-4}{1- \frac{3}{\sqrt x}}$

Give the domain of .

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