Another name for the x axis is the "y=0" line.

So  set 1.5x - 3 = 0 and solve for x

⇔ x = 3 / 1.5

⇔ x = +2

 

The final step is to substitute this value back into f(x) to check that

it correctly makes f(x) = 0

 

🎩 🎩

The intersection with the x-axis occurs when f(x) = 0, so

(3/2)x - 3 = 0

(3/2)x = 3

(1/2)x = 1

x = 2

.