Question

Determine the domain of the rational function ƒ(a) = 3/a+5

Answer 1

domain { a ∈ R , a ≠ - 5 }

Explanation:

the denominator of f(a) cannot equal zero as this would make f(a) undefined. Equating the denominator to zero and solving gives the value that a cannot be.

a + 5 = 0 ( subtract 5 from both sides )

a = - 5 ← excluded value

domain { a ∈ R, a ≠ - 5 }