Function Composition Lesson Slides: 7 Slides

7 Slides • 6 Questions

1

Function Composition

How do you compose functions?

2

How do you compose functions?

3

How do you compose functions?

4

Fill in the Blanks

Let $f\left(x\right)=2x-1$ and $g\left(x\right)=3x$ . Identify the rule for $f\left(g\left(2\right)\right)$

Type answer...

5

Fill in the Blanks

Let $f\left(x\right)=2x-1$ and $g\left(x\right)=3x$ . Identify the rule for $f\left(g\left(x\right)\right)$

Type answer...

6

How do you compose functions?

7

How do you compose functions?

8

How do you compose functions?

9

Multiple Choice

Identify the rule for $\left(f\circ\ g\right)\left(x\right)$ .

$f\left(x\right)=x^3$

$g\left(x\right)=x+1$

1

$x^3+1$

2

$x^4+1$

3

$\left(x+1\right)^3$

4

$\left(x+1\right)^4$

10

Multiple Choice

Identify the rule for $\left(g\circ\ f\right)\left(x\right)$ .

$f\left(x\right)=x^3$

$g\left(x\right)=x+1$

1

$x^3+1$

2

$x^4+1$

3

$\left(x+1\right)^3$

4

$\left(x+1\right)^4$

11

Multiple Choice

Identify the rule for $\left(g\circ\ f\right)\left(x\right)$ .

$f\left(x\right)=x^2+1$

$g\left(x\right)=x-5$

1

$\left(x-5\right)^2+1$

2

$\left(x^2+1\right)-5$

12

Multiple Choice

Identify the rule for $\left(f\circ\ g\right)\left(x\right)$ .

$f\left(x\right)=x^2+1$

$g\left(x\right)=x-5$

1

$\left(x-5\right)^2+1$

2

$\left(x^2+1\right)-5$

13

HOmework on DeltaMath: COmposition of Functions

Function Composition

How do you compose functions?

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