Composite functions

Presentation

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

Raúl Emilio Vargas Biagini

Used 1+ times

FREE Resource

5 Slides • 2 Questions

Composite
functions

Suppose that

We are going to evaluate one of these functions with the other function:

We read this as f of g of x

What about

We read this as g of f of x

Math Response

Let $f\left(x\right)=12x+4$ and $g\left(x\right)=-x^2-4$ .

Compute

$f\left[g\left(x\right)\right]=$

Give your answer in its most simple form.

Type answer here

Deg^°

Rad

Evaluating a composite function

Now suppose that

Now we want to ﬁnd

Math Response

Let $f\left(x\right)=-6x+8$ and $g\left(x\right)=2x^3+x$ ,

find

$f\left[g\left(3\right)\right]=$

Type answer here

Deg^°

Rad

We will see a way to compose functions given their graphs tomorrow.

Composite
functions

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