IXL - Composition of linear and quadratic functions: find an equation (Algebra 2 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,

(

∘

)

(

)

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Work it out

Not feeling ready yet? These can help:

U.5Composition of linear functions: find an equation

U.6Composition of linear and quadratic functions: find a value

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