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Math·Algebra·Linear functions

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The functions $f$ and $g$ are defined as $f(x)=\frac{1}{5}x-9$ and $g(x)=\frac{4}{5}x+27$. If the function $h$ is defined as $h(x)=f(x)+g(x)$, what is the $x$-intercept of the graph of $y=h(x)$ in the $xy$-plane?

A

$\left(-\frac{135}{4},0\right)$

B

$(-18,0)$

C

$(9,0)$

D

$(18,0)$