How do you find the value of x if g(x) = 3x + 2 and g(x) = 6?

To find the value of x when g(x) = 3x + 2 and g(x) = 6, we need to set up an equation based on the provided information.

Start with the equation:

g(x) = 6

Now, substitute the definition of g(x) into the equation:

3x + 2 = 6

Next, we can solve for x.

1. Subtract 2 from both sides:
   3x + 2 – 2 = 6 – 2
2. This simplifies to: 3x = 4
3. Now, divide both sides by 3 to isolate x:
   x =\frac{4}{3}

Thus, the value of x when g(x) = 6 is <4/3>.