4.3 Composition of Functions + Operations

4.3 Composition of Functions + Operations

Notes

Poll

Are you doing anything different this six weeks to not fall behind?

• Yes

• No

• I'm trying, but I'm not consistent yet.

Composition of Functions

"plug in a function into another function"

Multiple Choice

What does

 $f\left(g\left(x\right)\right)$  mean?

• To plug in g(x) into f(x)

• To plug in f(x) into g(x)

Multiple Choice

What does

 $g\left(f\left(x\right)\right)$  mean?

• To plug in g(x) into f(x)

• To plug in f(x) into g(x)

Multiple Choice

find

 $f\circ g$  

• 4x-3

• 4x+1

• 4x+3

Multiple Choice

find

 $g\circ f$  

• 4x-1

• 4x-2

• 4x+3

Multiple Select

What assignments are in the gradebook as of this day?

• Unit 3 Review

• Unit 3 Quiz

• Delta Math Account (Making an account)

• 4.1 Notes + Practice

Multiple Choice

If  $f\left(x\right)=2x$   and  $g\left(x\right)=2x^2-1$   find  $g\left(f\left(-1\right)\right)$  

• 2

• 15

• 7

• -9

Operations with Functions

Graphically and Algebraically

Multiple Choice

Which expression is equivalent to

 $\left(f-g\right)\left(3\right)$  

•  $\left(f-3\right)\left(g-3\right)$  

•  $f\left(3\right)-g\left(3\right)$  

•  $f\left(3\right)+g\left(-3\right)$  

Multiple Choice

Which expression is equivalent to

 $\left(\frac{f}{g}\right)\left(5\right)$  

•  $\frac{5f}{g}$  

•  $\frac{f\left(5\right)}{g\left(5\right)}$  

•  $\frac{f}{5g}$  

Multiple Choice

Find

 $\left(f-g\right)\left(-1\right)$  

• 5

• -5

• 1

• -1

Multiple Choice

find

 $\left(\frac{f}{g}\right)\left(-2\right)$  

• 0

• -4

• Undefined

• 4

Multiple Choice

Find

 $\left(f\circ g\right)\ \left(3\right)$  

• 3

• -1

• -5

• 4