Composing functions
in this task, you will compose functions algebraically, determine how the...
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 − 3 and g(x) = x2 + 2.
part a
find (f ◦ ).
part b
find (g ◦ ).
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 − 2
tiles
(f ◦ )(g ◦ )(f ◦ g)(3.5)(g ◦ f)(3.5)(f ◦ g)(0)(g ◦ 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 − 2
tiles
-2a3 − 2
2a3 − 2
2(a − 2)3
2(-a − 2)3
(2a − 2)3
(-2a − 2)3
pairs
(f ◦ g)(a)
arrowboth
(g ◦ f)(a)
arrowboth
(f ◦ )
arrowboth
(g ◦ )
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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