g(x) = -3x + 2
To get the x-intercept, we will equate g(x) to 0
g(x) = -3x + 2 = 0
-3x + 2 = 0
Subtracting 2 from both sides of the equation
-3x + 2 - 2 = 0 -2
=> -3x = -2
Dividing both sides by -3
x = -2/ -3
x = 2/3
The x-intercept of the function g(x) = 2/3