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Math·Advanced Math·Nonlinear functions

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$$r(x)=\frac{p}{x-4}+16$$ The given equation defines the function $r$, where $p$ is a positive constant. The graph of $y=r(x)$ in the $xy$-plane is translated 7 units to the left to produce the graph of $y=t(x)$. Which equation defines function $t$?

A

$t(x)=\frac{p}{x-4}+16-7$

B

$t(x)=\frac{p-7}{x-4}+16$

C

$t(x)=\frac{p}{x-4-7}+16$

D

$t(x)=\frac{p}{x-4+7}+16$