U2D9 Function Notation Feb4

Use a notebook to work out problems and take notes.

1

Use the defined functions to simplify each expression.

g(x) + h(x) = (2x - 3) + (4 - x) =

1

Use the defined functions to simplify each expression.

j(x) - g(x) = (3x) - (2x - 3) =

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

Use the defined functions to evaluate each expression.

1

Use the defined functions to evaluate each expression.

1

Use the defined functions to evaluate each expression.

1

Use the defined functions to evaluate each expression.

1

Use the defined functions to evaluate each expression.

1

Use the defined functions to evaluate each expression.

1

Use the defined functions to evaluate each expression.

1

Use the defined functions to evaluate each expression.

Function Composition

Notes on inverses:

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

What is the inverse of k(x)?
or
Find k-1(x).
* Scroll down on the left to find notes on inverses.

1

What is the inverse of g(x)?
or
Find g-1(x).
* Scroll down on the left to find notes on inverses.

1

What is the inverse of h(x)?
or
Find h-1(x).
* Scroll down on the left to find notes on inverses.

Let:

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

same as

1

Use the defined functions to simplify each expression.

Function Composition with Inverses
What happens if we use function composition with inverse functions?

1

Use the defined functions to simplify each expression.

_______ 

1

Use the defined functions to simplify each expression.

_______ 

1

Use the defined functions to simplify each expression.

_______ 

1

Use the defined functions to simplify each expression.

_______ 

1

How can we find out if W(x) is the inverse of M(x)?

Let:

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

Find f-1(x).

1

Use the defined functions to simplify each expression.

Find g-1(x).

1

Use the defined functions to simplify each expression.

1

Use the defined functions to simplify each expression.

1

Use a notebook to work out problems and take notes.

Use the defined functions to simplify each expression.g(x) + h(x) = (2x - 3) + (4 - x) =

Use the defined functions to simplify each expression.j(x) - g(x) = (3x) - (2x - 3) =

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to evaluate each expression.

Use the defined functions to evaluate each expression.

Use the defined functions to evaluate each expression.

Use the defined functions to evaluate each expression.

Use the defined functions to evaluate each expression.

Use the defined functions to evaluate each expression.

Use the defined functions to evaluate each expression.

Use the defined functions to evaluate each expression.

Function Composition

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

What is the inverse of k(x)?or Find k-1(x).* Scroll down on the left to find notes on inverses.

What is the inverse of g(x)?or Find g-1(x).* Scroll down on the left to find notes on inverses.

What is the inverse of h(x)?or Find h-1(x).* Scroll down on the left to find notes on inverses.

Let:

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.same as

Use the defined functions to simplify each expression.

Function Composition with Inverses

How can we find out if W(x) is the inverse of M(x)?

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.Find f-1(x).

Use the defined functions to simplify each expression.Find g-1(x).

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

Use the defined functions to simplify each expression.

g(x) + h(x) = (2x - 3) + (4 - x) =

Use the defined functions to simplify each expression.

j(x) - g(x) = (3x) - (2x - 3) =

What is the inverse of k(x)?
or
Find k-1(x).
* Scroll down on the left to find notes on inverses.

What is the inverse of g(x)?
or
Find g-1(x).
* Scroll down on the left to find notes on inverses.

What is the inverse of h(x)?
or
Find h-1(x).
* Scroll down on the left to find notes on inverses.

Use the defined functions to simplify each expression.

same as

Use the defined functions to simplify each expression.

Find f-1(x).

Use the defined functions to simplify each expression.

Find g-1(x).