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Math·Advanced Math·Nonlinear functions

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$$g(x)=\frac{1}{7}(3{)}^x$$
If the given function $g$ is graphed in the xy-plane, where $y=g(x)$, what is the y-intercept of the graph?

A

$(0,0)$

B

$\left(0,\frac{1}{7}\right)$

C

$\left(0,\frac{3}{7}\right)$

D

$(0,3)$