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The image you uploaded contains six mathematical problems from a tutorial. Here’s a breakdown of the questions:

1. **Determine the solution set and interval notation for the inequality**:
   \[
   \left|\frac{5}{x} + 2\right| < 1
   \]

2. **Find the value of** \( f\left(\sqrt{x}\right) \) **for the function** \( f(x) = x^3 - x \).

3. **Using point plotting and curve transformations (two methods), sketch the graph of the equation**:
   \[
   (x - 2)^2 + (y + 1)^2 = 1
   \]
   *(This is the equation of a circle.)*

4. **Determine the domain and range of the given function and check if the function is even, odd, or neither**:
   \[
   g(x) = \sqrt{x - \frac{1}{x}}
   \]

5. **For the functions**:
   - \( f(x) = x - 1 \),
   - \( g(x) = \sqrt{x^2 + 2} \),
   - \( h(x) = \frac{1}{1-x} \),
   
   **find the composition and domain for**:
   a. \( (f + g)(x), (f - g)(x), (f \times g)(x), \left(\frac{f}{g}\right)(x) \).
   b. \( (f \circ g)(x), (g \circ h)(x), (h \circ g)(x) \).

6. **From the given functions in problem 5, determine**:
   a. \( (f \circ g \circ h)(x) \),
   b. \( (g \circ f \circ h)(x) \),
   c. \( (h \circ h \circ h)(x) \).

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Would you like me to solve any specific problem first, or should I go over them in sequence? 

### Relative Questions:
1. What method can be used to solve absolute value inequalities like the one in problem 1?
2. How would you find the domain of a composite function like \( f \circ g \)?
3. How can transformations be used to sketch conic sections like circles or ellipses?
4. What is the difference between even and odd functions?
5. How do you compute compositions of functions?

### Tip:
Always analyze the domain restrictions when dealing with functions involving square roots and fractions to avoid undefined operations.

The image contains six mathematical problems from a tutorial, covering inequalities, function evaluation, curve sketching, domain and range, composition of functions, and even/odd function identification.

Explore solutions for a range of mathematical problems, including solving absolute value inequalities, function composition, domain and range analysis, and sketching conic sections like circles. Learn how to determine even and odd functions and perform function operations step-by-step.

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