wikiHow Domain of a Function Practice Answers 1. The domain of f(x) is all real numbers, since there are no restrictions on x in the function. 2. The domain of g(x) is all real numbers less than or equal to 4, since the expression under the square root must be non-negative. 3. The domain of h(x) is all real numbers except -5, since that would make the denominator 0 and the function undefined. 4. The domain of k(x) is (2, ∞), since the natural logarithm is only defined for positive numbers. 5. The domain of m(x) is all real numbers except -2 and 2, since those values would make the denominator 0 and the function undefined. 6. The domain of n(x) is all real numbers except -2, since that would make the denominator 0 and the function undefined. 7. The domain of p(x) is all real numbers, since there are no restrictions on the domain of the sine function. 8. The domain of q(x) is all real numbers, since there are no restrictions on the domain of the cosine function. 9. The domain of r(x) is all real numbers except (π/2 + kπ) for any integer k, since that would make the tangent function undefined. 10. The domain of s(x) is the set of all real numbers except (2k + 1)π/2 for any integer k, since those values would make the denominator 0 and the function undefined. 11. The domain of t(x) is all positive real numbers, since the logarithm is only defined for positive inputs. 12. The domain of u(x) is all real numbers, since the exponential function is defined for all inputs. 13. The domain of v(x) is all real numbers except -i and i, since those values would make the denominator 0 and the function undefined. 14. The domain of w(x) is all real numbers greater than or equal to 3, since the expression under the square root must be non-negative and the denominator cannot be 0. 15. The domain of x(x) is all real numbers, since the exponential function is defined for all inputs. 16. The domain of y(x) is all real numbers except 2 and 4, since those values would make the denominator 0 and the function undefined. 17. The domain of z(x) is all real numbers, since the absolute value function is defined for all inputs. 18. The domain of a(x) is all real numbers except -1, since that would make the denominator 0 and the function undefined. 19. The domain of b(x) is all real numbers, since the exponential function is defined for all inputs. 20. The domain of c(x) is all real numbers greater than or equal to 3 and less than or equal to -3, since the expression under the natural logarithm must be positive or zero. Page