### From Homeworkwiki

**Find the domain for which the functions f(x) = 2x**^{2} - 1 and g(x) = 1 – 3x are equal.

**Solution:** We have f(x) = g(x) = => 2x ^{2} - 1 = 1 – 3x => 2x ^{2} + 3x – 2 = 0

=>(x + 2)(2x - 1) = 0 => x = -2, 1/2

Thus, f(x) and g(x) are equal on the set {-2, 1/2}.