https://file.aiquickdraw.com/mathbot/file/1731873463046tblb9m3f.jpg

The image contains a mathematical function, and I will extract and analyze it for you.

From the image, the provided function appears to be:
\[
f(x) = \frac{x\sqrt{5} + \sqrt{x}}{x + 1}, \quad g(x) = \sqrt{x}
\]

Would you like me to calculate:
1. The domain of \(f(x)\) and \(g(x)\)?
2. Their compositions or any other operation involving \(f(x)\) and \(g(x)\)?
3. A specific limit, derivative, or integral involving these functions?

Let me know how you'd like to proceed!

Determine the domain of the function f(x) = (x√5 + √x) / (x + 1) and g(x) = √x.

Explore the domain of f(x) = (x√5 + √x) / (x + 1) and g(x) = √x. Learn key concepts about square root functions and rational functions, with detailed step-by-step solutions for understanding their respective domains.

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