III. For the given function f and g, find the composition of the following: a) f •g b) gof c) fof d) gog Give the restriction of its composite function if needed. 1) f(x) =, g(x) = 3 3) f(x) = Vĩ , g(x) = 2x + 3 5) f(x) = -x + 1 , g(x)= -x² + 4 x-1 2) f(x) = , g(x) = x-5 x+2 4) f(x) = x² + 4 , g(x) = \x – 2 x+1 x-3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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III. For the given function f and g, find the composition of the following:
a) f • g
b) gof
c) fof
d) gog
Give the restriction of its composite function if needed.
1) f(x) = , g(x) =:
3) f(x) = Vx , g(x) = 2x + 3
5) f(x) 3D —х +1 ,
g(x) = -x² + 4
x-5
x+2
2) f(x) =
*+1 ' g(x) =
4) f(x) = x² + 4 , g(x)= Vx – 2
Transcribed Image Text:III. For the given function f and g, find the composition of the following: a) f • g b) gof c) fof d) gog Give the restriction of its composite function if needed. 1) f(x) = , g(x) =: 3) f(x) = Vx , g(x) = 2x + 3 5) f(x) 3D —х +1 , g(x) = -x² + 4 x-5 x+2 2) f(x) = *+1 ' g(x) = 4) f(x) = x² + 4 , g(x)= Vx – 2
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