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Math·Advanced Math·Nonlinear functions

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The function $f$ is defined by $f(x)=-10(3{)}^x+\frac{1}{k}$, where $k$ is a constant.

If $y=f(x)$ is graphed in the $xy$-plane, what is the y-coordinate of the y-intercept of the graph?

A

$-10$

B

$\frac{1-10k}{k}$

C

$\frac{1}{k}$

D

$\frac{1-k}{k}$