Question

Write the domain of f(x)=(5)/(2x^(2)+10x) using interval notation.

Answer 1

Explanation:

`f(x)=(5)/(2x^2+10x)`

Domain : 2x² + 10x ≠ 0

We have to solve 2x² + 10x = 0

⇔ x(2x + 10) = 0

⇔ x = 0 or 2x + 10 = 0

⇔ x = 0 or 2x = -10

⇔ x = 0 or x = -10/2 = - 5

Domain : R\{-5 ; 0}