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Laabri

U2D9 Function Notation Feb4

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40 Nsɛmmisa

Use a notebook to work out problems and take notes.

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1.

Use the defined functions to simplify each expression.

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

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2.

Use the defined functions to simplify each expression.

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

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3.

Use the defined functions to simplify each expression.

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4.

Use the defined functions to simplify each expression.

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Function Composition

Notes on inverses:

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16.

Use the defined functions to simplify each expression.

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Let:

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24.

Use the defined functions to simplify each expression.

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25.

Use the defined functions to simplify each expression.

same as

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26.

Use the defined functions to simplify each expression.

Function Composition with Inverses

What happens if we use function composition with inverse functions?

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27.
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30.
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31.

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

Let:

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32.

Use the defined functions to simplify each expression.

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33.

Use the defined functions to simplify each expression.

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Use the defined functions to simplify each expression.

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5.

Use the defined functions to simplify each expression.

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6.

Use the defined functions to simplify each expression.

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7.

Use the defined functions to simplify each expression.

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8.

Use the defined functions to evaluate each expression.

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9.

Use the defined functions to evaluate each expression.

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10.

Use the defined functions to evaluate each expression.

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11.

Use the defined functions to evaluate each expression.

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12.

Use the defined functions to evaluate each expression.

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13.

Use the defined functions to evaluate each expression.

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14.

Use the defined functions to evaluate each expression.

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15.

Use the defined functions to evaluate each expression.

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17.

Use the defined functions to simplify each expression.

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18.

Use the defined functions to simplify each expression.

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19.

Use the defined functions to simplify each expression.

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20.

Use the defined functions to simplify each expression.

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21.

What is the inverse of k(x)?

or

Find k-1(x).

* Scroll down on the left to find notes on inverses.

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22.

What is the inverse of g(x)?

or

Find g-1(x).

* Scroll down on the left to find notes on inverses.

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23.

What is the inverse of h(x)?

or

Find h-1(x).

* Scroll down on the left to find notes on inverses.

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34.

Use the defined functions to simplify each expression.

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35.

Use the defined functions to simplify each expression.

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36.

Use the defined functions to simplify each expression.

Find f-1(x).

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37.

Use the defined functions to simplify each expression.

Find g-1(x).

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38.

Use the defined functions to simplify each expression.

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39.

Use the defined functions to simplify each expression.

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40.

Use the defined functions to simplify each expression.