f(x)=x+2 , g(x)=2x+1 find fog and gof
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Answer:
f o g = 2x+3
g o f = 2x+5
Step-by-step explanation:
Given
f(x) = x+2 & g(x) = 2x+1
then
(1) f o g
= f(g(x))
= f(g(x))
= f(2x+1)
= (2x+1)+2
= 2x+3
2) g o f
= g(f(x))
= g(x+2)
= 2(x+2)+1
= 2x+4+1
= 2x+5
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