Decomposing Functions Lesson Slides: 16 Slides

16 Slides • 7 Questions

1

Composite Functions Lessons

Elizabeth Borres

2

At the end of the lesson, students will be able to:

Define composite functions.
Solve composite functions.
Apply composite functions in real life.

3

Let us have a short review.

(Function Operations)

4

Multiple Choice

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f+g\right)\left(0\right)=$

1

$-1$

2

$3$

3

$1$

4

$-3$

5

Multiple Choice

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f-g\right)\left(1\right)=$

1

3

2

-3

3

1

4

-1

6

Multiple Choice

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(f\cdot g\right)\left(-1\right)=$

1

-3

2

-14

3

14

4

-7

7

Multiple Choice

If $f\left(x\right)\ =\ x-1$ and $g\left(x\right)=5x-2$ , then $\left(\frac{f}{g}\right)\left(\frac{2}{5}\right)$

1

undefined

2

$\frac{1}{3}$

3

$\frac{-1}{3}$

4

$-3$

8

9

10

11

12

Poll

Any question(s)?

13

Multiple Choice

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

1

16

2

4

3

-4

4

None of these.

14

Multiple Choice

f(x) = 3x + 10

g(x) = x - 2

Find g(f(-10))

1

-42

2

-26

3

-18

4

None of these.

15

16

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18

19

20

21

22

23

Composite Functions Lessons

Elizabeth Borres

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