Question

If `f(x) = x² - 5x + 8` and `g(x) = x² - 4` what is `f(x) + g(x)` and its domain?

Answer 1

`f(x) + g(x) = 2x^2 - 5x + 4`
Domain: `RR`

Explanation:

`f(x) + g(x) = (x^2 - 5x + 8) + (x^2 - 4)`

`f(x) + g(x) = 2x^2 - 5x + 4`

The domain is all real numbers.