Composing functions
in this task, you will compose functions algebraically, determine how the...
![subject](/tpl/images/cats/mat.png)
Mathematics, 16.10.2019 22:20 shawna189
Composing functions
in this task, you will compose functions algebraically, determine how the commutative property relates to function composition, and compose functions represented in different ways.
question 1
let f(x) = x β 3 and g(x) = x2 + 2.
part a
find (f β¦ ).
part b
find (g β¦ ).
part c
is function composition commutative? justify your answer.
question 2
part a
question
drag each tile to the correct box.
use these functions to place the function compositions in order from least to greatest value.
f(x) = 2x2
g(x) = x β 2
tiles
(f β¦ )(g β¦ )(f β¦ g)(3.5)(g β¦ f)(3.5)(f β¦ g)(0)(g β¦ f)(0)
part b
drag the tiles to the correct boxes to complete the pairs. not all tiles will be used.
use these functions to perform each function composition.
f(x) = 2x3
g(x) = x β 2
tiles
-2a3 β 2
2a3 β 2
2(a β 2)3
2(-a β 2)3
(2a β 2)3
(-2a β 2)3
pairs
(f β¦ g)(a)
arrowboth
(g β¦ f)(a)
arrowboth
(f β¦ )
arrowboth
(g β¦ )
arrowboth
question 3
question
type the correct answer in each box. if necessary, use / for the fraction bar.
use these functions to evaluate each function composition.
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Answers: 3
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