Answer:
x = 6
Step-by-step explanation:
Finding the zero of a function is given by solving it by setting [tex]f(x) = 0[/tex].
In this case we do that and get:
[tex]f(x) = 0 = \frac{8}{3}x - 16[/tex]
[tex]0 + 16 = \frac{8}{3}x - 16 + 16[/tex]
[tex]3 * 16 = \frac{8}{3}x * 3[/tex]
[tex]48 = 8x[/tex]
[tex]\frac{48}{8}=\frac{8x}{8}[/tex]
[tex]x = 6[/tex]