Given f(x) = 3/2x - 4, solve for x (the input), when f(x) = 0 (the output is 0)

The input x = 8/3 results in a zero (0) function output.  

Step-by-step explanation:

Write f(x) = (3/2)x - 4 and set this equal to 0:   f(x) = (3/2)x - 4 = 0.  

Solve  (3/2)x - 4 = 0 for x by adding 4 to both sides:  (3/2)x = 4.

Finally, multiply both sides by the inverse of (3/2), to isolate x:

(2/3)(3/2)x = (2/3)4 = 8/3.

The input x = 8/3 results in a zero (0) function output.