IXL - Divide functions (Algebra 2 practice)

What is the domain of

(

)

(

)

(

)

All real numbers except

–

All real numbers except

–

All real numbers

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Learn with an example

question

What is the domain of

(

)

(

)

(

)

–

All real numbers

All real numbers except

–

All real numbers except

All real numbers except 5

key idea

Function division:

(

)

(

)

(

)

(

)

≠

Notice that

(

)

≠

That's because dividing by 0 is undefined. Any value of

that makes the denominator

(

)

equal to 0 is called an excluded

value,

and it is not in the domain of

(

)

solution

The domain of the function

(

)

is the intersection of the domains of

(

)

and

(

)

except for any excluded values.

The domains of

(

)

and

(

)

are all real numbers, since any real

-value

can be plugged into the functions. So, the domain of

(

)

is also all real numbers—except for any excluded values.

Now find any excluded values. Since dividing by 0 is undefined, any value of

that makes

(

)

equal to 0 is an excluded value. Solve the equation

(

)

(

)

–

Substitute

(

)

–

Substitute

(

)

–

The excluded value is

So, the domain of

(

)

is all real numbers except

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Not feeling ready yet? These can help:

C.8Solve two-step linear equations

X.1Rational functions: asymptotes and excluded values

O.3Solve a quadratic equation by factoring

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