Question

How do you find the domain of a function? Equation coming

Answer 1

\[f(x)=\frac{ 14x }{ x+9 }\]

Answer 2

domain is all the possible values for x. In this case, x cannot be -9, since -9+9=0 and you can't have 0 in the denominator.

Answer 3

So the domain would be (-infinity; -9)U(-9; infinity)

Answer 4

Rational functions are known to be defined everywhere except where their denominator vanishes.$$x+9=0\implies x=-9$$so \(f\)'s domain is all real numbers except \(-9\)

Answer 5

thanks!