Answer:
Explanation:
f + g = x^2 + 2x + 6 - x^2
= 2x + 6
Domain is (-∝ , ∝ )
f - g = x^2 + 2x - (6 - x^2)
= 2x^2 + 2x - 6
Domain is (-∝ , ∝ )
fg = (x^2 + 2x)( 6 - x^2)
= 6x^2 - x^4 + 12x - 2x^3
Domain is (-∝ , ∝ )
f/g = (x^2 + 2x) / (6 - x^2)
Here x = √6 or -√6 are not included in the domain as the denominator will be zero and the function is undefined at the values.
Domain = (-∝, -√6) U (√6, ∝ )