Let f (x) = x^2 – 16 and g(x) = x + 4, how do you find f/g and its domain?

Apr 21, 2017

see explanation.

Explanation:

$\text{ factorise and simplify the rational expression}$

$\frac{f \left(x\right)}{g \left(x\right)} = \frac{\left(x - 4\right) \left(\cancel{x + 4}\right)}{\left(\cancel{x + 4}\right)} = x - 4$

$x - 4 \text{ is linear and defined for all x}$

$\Rightarrow \text{domain is } x \in \mathbb{R}$