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Math·Advanced Math·Nonlinear functions

hard

For an exponential function, the value of $f(x)$ increases by $110\%$ for every increase of $\frac{1}{3}$ in the value of $x$. Which equation could define this function?

A

$f(x)=(2.1{)}^{3x}$

B

$f(x)=(2.1{)}^{\frac{x}{3}}$

C

$f(x)=(1.1{)}^{3x}$

D

$f(x)=(1.1{)}^{\frac{x}{3}}$