Question

Answer the following:

Find the domain of the following function.

f(x) = `(x^2 + 4x + 4)/(x^2 + x - 6)`

Answer 1

f(x) = `(x^2 + 4x + 4)/(x^2 + x - 6)`

= `(x + 2)^2/((x + 3)(x - 2))`

f(x) is not defined if (x + 3) (x – 2) = 0,

i.e., if x = – 3 or x = 2

∴ Domain = R – {2, – 3}