Question

How do you find the domain of the function `f(x) = (4x^3 − 1) / (x^2 + 4x − 12)`?

Answer 1

Anything that makes the denominator equal to `0` is forbidden

So we solve `x^2+4x-12=0`, first we factorise

`=>(x-2)(x+6)=0=>x=2orx=-6`

These are the forbidden values, so the answer is:

`x!=2` and `x!=-6`