Question

find domain of this function

Answer 1

Please see the attachment

Answer 2

Given:

• 1/x³-25x

To find:

• Domain =?

Solution:

→ x³-25 ≠ 0

→ x(x²-25) ≠ 0

→ x(x²-5²) ≠ 0

→x(x-5)(x+5) ≠ 0

• x²-y² = (x-y) (x+y)

→x ≠ 0, 5, -5

• Domain: D_f = set of all real numbers except 0 , 5 ,-5.