IXL - Composition of functions (Precalculus practice)

Find

(

∘

)

(

)

(

)

(

)

Write your answer as a polynomial in simplest form.

(

∘

)

(

)

ref_doc_title.

Learn with an example

question

Find

(

∘

)

(

)

(

)

(

)

Write your answer as a polynomial in simplest form.

(

∘

)

(

)

key idea

To write a function for a given input, substitute that input into the function rule. Think of the

in the function rule as a blank space for the input to go.

For example, take the function rule

(

)

–

When the input is 2, then

(

)

–

When the input is

then

(

)

–

When the input is

then

(

)

(

)

–

Composition of functions

(

∘

)

(

)

(

)

(

∘

)

(

)

(

)

To find

(

∘

)

(

)

(

∘

)

(

)

use the inner function as the input for the outer function.

solution

Find

(

∘

)

(

)

for

(

)

and

(

)

(

∘

)

(

)

Substitute the inner function,

(

)

(

)

Substitute the inner function,

(

)

Apply the function rule for the outer function,

(

)

Apply the function rule for the outer function,

(

)

So,

(

∘

)

(

)

Looking for more? Try this:

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? These can help:

U.7Composition of linear and quadratic functions: find an equation

U.5Composition of linear functions: find an equation

A.3Evaluate functions

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!