The functions $f$ and $g$ are defined as $f(x)=\frac{1}{5}x-9$ and $g…

Question

Prompt

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

x y

-plane?

(- \frac{135}{4}, 0)

(- 18, 0)

(9, 0)

(18, 0)