Question

Give the domain of the function.

22. g(x)=5/(x^2-25)

23. f(t)=3t^2+5t+2

24. h(x)=square root of 5x-2

Answer 1

Question 23160

1. $g(x) = \frac{5}{x^2 - 25}$ , domain includes all real numbers, except those, which turn the denominator to zero. Hence, $D(g(x)) = R \setminus (5; -5)$ .

2. $f(t) = 3t^{2} + 5t + 2$ . Obviously, $x \in R$ .

3. $h(x) = \sqrt{5x - 2}$ . Square root is defined to non-negative real numbers, so $D(h(x)): x \in [\frac{2}{5}; \infty)$ .