QuestionCompute the values of a periodic function $g(x)=\frac{x+1}{x^{2}-x+4}$ with period 7 on the interval $[-2,5)$. Find all roots of $g(x)$.

Studdy Solution
Because $g(x)$ is periodic with period 7, all other roots can be found by adding multiples of 7 to $-1$.
$$x = -1 + 7k, \text{ where } k \text{ is an integer}$$
(d) The roots of $g$ are $x = -1 + 7k$ for all integers $k$.