It seems like you're trying to solve an equation involving the function $g(x) = \sqrt{x} + 1 = 1.5$. Let's solve this equation step by step.

Equation:

$\sqrt{x} + 1 = 1.5$

Step 1: Isolate the square root term

Subtract 1 from both sides:

$\sqrt{x} = 1.5 - 1$

$\sqrt{x} = 0.5$

Step 2: Square both sides to solve for $x$

$x = (0.5)^2$

$x = 0.25$

So, the solution is:

$x = 0.25$

Would you like more details or have any questions?

Here are some related questions:

1. What happens if $g(x) = \sqrt{x} + 1$ is set to different values?
2. How does the function $g(x) = \sqrt{x} + 1$ behave for negative values of $x$?
3. What are the domain and range of $g(x) = \sqrt{x} + 1$?
4. How do you find the inverse of the function $g(x) = \sqrt{x} + 1$?
5. How would you graph the function $g(x) = \sqrt{x} + 1$?

Tip: When solving square root equations, always remember to check if the solution is within the domain of the original function (in this case, $x \geq 0$ since square roots of negative numbers aren't real).