Question

Need help finding the quotient of two functions

Answer 1

(
`(g)/(f)`)(x) =
`(8)/(x+4)` ÷
`(7)/(x)`

=
`(8)/(x+4)` ×
`(x)/(7)` =
`(8x)/(7x+28)`

The denominator cannot be zero as this would make the rational function undefined. Equating the denominator to zero and solving gives the value that x cannot be

solve 7x + 28 = 0 ⇒ x = - 4 ← excluded value

domain is x ∈ (- ∞, - 4 ) ∪ (- 4, + ∞ )