What is the domain of the rational function $$f(x) = \frac{1}{x-3}$$ ?

All real numbers except $$x = 3$$

All real numbers except $$x = 0$$

All real numbers except $$x = -3$$

Determine if $$x = 0$$ is an extraneous solution for the equation $$\frac{x+2}{x} = 4$$ .

It depends on the value of $$x$$ .

What is the domain of the rational function $$g(x) = \frac{x+1}{x^2 - 4}$$ ?

All real numbers except $$x = 2$$ and $$x = -2$$

All real numbers except $$x = 2$$

All real numbers except $$x = -2$$

Determine if $$x = 1$$ is an extraneous solution for the equation $$\frac{x+3}{x-1} = 5$$ .

It depends on the value of $$x$$ .

What is the domain of the rational function $$h(x) = \frac{3x}{x^2 + x - 6}$$ ?

All real numbers except $$x = 2$$ and $$x = -3$$

All real numbers except $$x = 3$$ and $$x = -2$$

All real numbers except $$x = 2$$ and $$x = -2$$

All real numbers except $$x = 3$$ and $$x = -3$$

Determine if $$x = -1$$ is an extraneous solution for the equation $$\frac{x-2}{x+1} = 1$$ .

It depends on the value of $$x$$ .

What is the domain of the rational function $$k(x) = \frac{5x}{x^2 - 9}$$ ?

All real numbers except $$x = 3$$ and $$x = -3$$

All real numbers except $$x = 3$$

All real numbers except $$x = -3$$

Rational Functions and Their Domains

Authored by Jocelyn Heaney

Mathematics

11th Grade

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

All real numbers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Yes, it is an extraneous solution.

No, it is not an extraneous solution.

Cannot be determined.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

All real numbers

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Yes, it is an extraneous solution.

No, it is not an extraneous solution.

Cannot be determined.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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