To find the value of $g(x)$ when $x = 1.5$, we substitute $x = 1.5$ into the function $g(x) = x^2 + 2x - 2$:

$g(1.5) = (1.5)^2 + 2(1.5) - 2$

First, calculate $(1.5)^2$: $(1.5)^2 = 2.25$

Next, calculate $2(1.5)$: $2(1.5) = 3$

Now, sum these results and subtract 2: $g(1.5) = 2.25 + 3 - 2$ $g(1.5) = 3.25$

So, $g(1.5) = 3.25$.

Would you like more details or have any questions?

Here are some related questions for further exploration:

1. What is the derivative of $g(x) = x^2 + 2x - 2$?
2. How would you find the roots