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Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.Xf(x) 6x and g(x)f(g(x)-a.b. g(fx)C.O fand g are not inverses of each otherO fand g are inverses of each other.Click to select your answer(s).earchhpHEWLE T T - P AC KARD

Question
Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.
X
f(x) 6x and g(x)
f(g(x)-
a.
b. g(fx)
C.
O fand g are not inverses of each other
O fand g are inverses of each other.
Click to select your answer(s).
earch
hp
HEWLE T T - P AC KARD
help_outline

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Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. X f(x) 6x and g(x) f(g(x)- a. b. g(fx) C. O fand g are not inverses of each other O fand g are inverses of each other. Click to select your answer(s). earch hp HEWLE T T - P AC KARD

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check_circleAnswer
Step 1

The given functions are,

x
f(x)6x and g(x)=
6
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x f(x)6x and g(x)= 6

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Step 2

Definition used:

"Given two functions f and g, the composite function, denoted by fog
(read as f composed with g"), is defined by (fog)(x)= f(g(x)). The
notation f(g(x)) is read fof g ofx"
help_outline

Image Transcriptionclose

"Given two functions f and g, the composite function, denoted by fog (read as f composed with g"), is defined by (fog)(x)= f(g(x)). The notation f(g(x)) is read fof g ofx"

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Step 3

a) Obtain the composition function &l...

By using the above definition, find the value of the composite function
f(g(x))
f(g(x))-
6
g(x)=
(f(x)6x)
=6
6
-
=x
Thus, the composite function f(g(x)) is x
help_outline

Image Transcriptionclose

By using the above definition, find the value of the composite function f(g(x)) f(g(x))- 6 g(x)= (f(x)6x) =6 6 - =x Thus, the composite function f(g(x)) is x

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