Question 769598
y=(x^2+8x+12)/∜(x+5)


Domain: What values are permitted for x?  

The numerator makes no restrictions. Polynomials can accept all real numbers.

The denominator puts a retriction on being fourth-root function, since that can only accept expressions which are greater than or equal to zero.

You MUST have x+5>=0
{{{x>=-5}}}


The domain is, the real numbers greater than or equal to negative 5.