Here are the specific math problems you mentioned from the document:

From 5 to 16 (Domain Problems):

• 5. $f(x) = \frac{8}{x}$
• 6. $g(x) = \frac{x}{5}$
• 7. $h(x) = x - 3$
• 8. $K(z) = \frac{1}{z - 1}$
• 9. $f(z) = 3z^2 - 2z + 4$
• 10. $H(x) = \frac{x}{x - 8}$
• 11. $f(x) = \frac{9x - 9}{2x - 7}$
• 12. $g(x) = 4x - 3$
• 13. $g(y) = \frac{4}{y^2 - 4y + 4}$
• 14. $f(x) = \frac{x - 5}{x^2 - x - 6}$
• 15. $h(s) = \frac{4 - s^2}{2s^2 - 7s - 4}$
• 16. $G(r) = \frac{2}{r^2 - 1}$

From 17 to 28 (Evaluate the Function):

• 17. $f(x) = 2x - 1$
• 18. $H(s) = 5s^2 - 3$
• 19. $G(x) = 2 - x^2$
• 20. $F(g(x)) = -5x$
• 21. $u = 2u^2 - u$
• 22. $h(y) = \frac{1}{v}$
• 23. $f(x) = x^2 - 2x + 1$
• 24. $H(x) = (x - 4)^2$
• 25. $k(x) = \frac{x - 7}{x^2 - 2}$
• 26. $k(x) = \sqrt{x - 3}$
• 27. $f(x) = x^{4/3}$
• 28. $g(x) = x^{2/5}$

From 54 to 57 (Calculator-Based Function Evaluation):

• 54. $f(x) = 2.03x^3 - 5.27x^2 + 13.71$
  • $f(1.73), f(-5.78), f(\sqrt{2})$
• 55. $f(x) = \frac{14.7x^2 - 3.95x + 15.76}{24.3 - x^3}$
  • $f(4), f\left(-\frac{17}{4}\right), f(\pi)$
• 56. $f(x) = (20.3 - 3.2x)(2.25x^2 - 7.1x + 16)^4$
  • $f(0.3), f(-0.02), f(1.9)$
• 57. $f(x) = \frac{\sqrt{2x^2 + 7.31(x - 1)}}{5.03}$
  • $f(12.35), f(-123), f(0)$

Would you like detailed solutions or explanations for any of these problems?

5 Related Questions:

1. How do you find the domain of a rational function?
2. What are the steps to evaluate a function at a given value?
3. How do square roots in functions affect the domain?
4. What are common issues when simplifying complex fractions?
5. How do you use a calculator for evaluating higher-degree polynomials?

Tip: Always check the denominator when determining the domain to avoid division by zero!