Given functions f and g, construct the composite functions (f ° g)(t) and (g ° f)(t)Of() ig(t) 1 -15Then, determine each composite function's domain using interval notation.(Express numbers in exact form. Use symbolic notation and fractions where needed. For function's domain give your answeras an interval in the form (*, *). Use the symbol0o for infinity, U for combining intervals, and an appropriate type ofon whether the interval is open or closed. Enter Ø if the interval is empty.)parenthesis "(",")", "I","]" depending(fo g)(f)15domain of fo g:

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Asked Sep 21, 2019
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Given functions f and g, construct the composite functions (f ° g)(t) and (g ° f)(t)
O
f() i
g(t) 1 -15
Then, determine each composite function's domain using interval notation.
(Express numbers in exact form. Use symbolic notation and fractions where needed. For function's domain give your answer
as an interval in the form (*, *). Use the symbol
0o for infinity, U for combining intervals, and an appropriate type of
on whether the interval is open or closed. Enter Ø if the interval is empty.)
parenthesis "(",")", "I","]" depending
(fo g)(f)
15
domain of fo g:
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Given functions f and g, construct the composite functions (f ° g)(t) and (g ° f)(t) O f() i g(t) 1 -15 Then, determine each composite function's domain using interval notation. (Express numbers in exact form. Use symbolic notation and fractions where needed. For function's domain give your answer as an interval in the form (*, *). Use the symbol 0o for infinity, U for combining intervals, and an appropriate type of on whether the interval is open or closed. Enter Ø if the interval is empty.) parenthesis "(",")", "I","]" depending (fo g)(f) 15 domain of fo g:

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Expert Answer

Step 1

Given,

 

f() and g(t)=1-1"
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f() and g(t)=1-1"

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Step 2

Therefore,

 

(fog)() f(8()) f(1-1")=1-1
(go)(f)- (vi)=1-()
15
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(fog)() f(8()) f(1-1")=1-1 (go)(f)- (vi)=1-() 15

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Step 3

Now the domain of composite fu...

Domain of fog
1 50
15
<1
te(1
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Domain of fog 1 50 15 <1 te(1

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Math

Calculus