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Math·Advanced Math·Nonlinear functions

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$f(x)=7(4{)}^x$
The function $f$ is defined by the given equation. If $g(x)=f(x+3)$, which of the following equations defines the function $g$?

A

$g(x)=21(4{)}^x$

B

$g(x)=448(4{)}^x$

C

$g(x)=21(12{)}^x$

D

$g(x)=343(64{)}^x$