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Finding the Domain of a Function Practice Problems
Find the domain of the following functions:
1. f(x) = 3x - 1
2. g(x) = √(4 - x)
3. h(x) = (x - 3)/(x + 5)
4. k(x) = ln(x - 2)
5. m(x) = 1/(x^2 - 4)
6. n(x) = (x + 2)/(x^2 + 4x + 4)
7. p(x) = sin(x)
8. q(x) = cos(2x)
9. r(x) = tan(x)
10. s(x) = 1/(cos(x) - 1)
11. t(x) = log_2(x)
12. u(x) = e^x
13. v(x) = 1/(x^2 + 1)
14. w(x) = √(x - 3)/(x + 1)
15. x(x) = 2^x - 4
16. y(x) = (x^2 + 3x + 2)/(x^2 - 6x + 8)
17. z(x) = |x - 1|
18. a(x) = (x^2 - 4)/(x^2 + 2x + 1)
19. b(x) = e^(x + 1)
20. c(x) = ln(x^2 - 9)
Note: For some of these problems, you may need to state the domain in interval notation or set notation, depending on the context and the required format.
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