Let f:
RR and g: RR be defined by f(x) = 2x + 1 and g(x) = x2. Then find
gof and fog.
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2
Answer:
Given, f(x)=x
2
and g(x)=(x+1)
(gof)(x)=g{f(x)}=g(x
2
)=(x
2
+1).
(fog)(x)=f{g(x)}=f(x+1)=(x+1)
2
.
Hence, gof
=fog.
Step-by-step explanation:
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