Give the domain of the function :

Question

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

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

3. h(x) = SquareRoot Of : 5x - 2

Answer 1

domain of all polynomials is all reals
domain of rational functions is all reals except where the denominator is zero
domain of √u is u >= 0

so,

1. all reals except x=±5
2. all reals
3. all reals 5x-2 >= 0, or x >= 2/5