Question
Asked Jul 2, 2019
FUNCTION OPERATIONS AND INVERSES
Composition of two functions: Basic
Suppose that the functions u and w are defined as follows.
u (x)2x+2
()x2+1
1V
Find the following.
(w u)(-5)
O
?
(u o w)(-5) =
X
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FUNCTION OPERATIONS AND INVERSES Composition of two functions: Basic Suppose that the functions u and w are defined as follows. u (x)2x+2 ()x2+1 1V Find the following. (w u)(-5) O ? (u o w)(-5) = X

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Expert Answer

Step 1

The given functions are,

и (x)--2.х - 2
w(x)- х* +1
-2х — 2
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и (x)--2.х - 2 w(x)- х* +1 -2х — 2

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Step 2

The composite function is computed as follows.

Find the composition function (wou)(x)
(*)п)м - (х)(по м)
w(-2x-2)
(2x-2)
= 4x48x+1
= 4x28x5
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Find the composition function (wou)(x) (*)п)м - (х)(по м) w(-2x-2) (2x-2) = 4x48x+1 = 4x28x5

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Step 3

Compute the functional...

(wou)(-5) 4(-5) +8(-5)+5
4(25)-40+5
=100 40 5
-65
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(wou)(-5) 4(-5) +8(-5)+5 4(25)-40+5 =100 40 5 -65

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