Answer
Domain: $(-\infty,-5]\cup[5,\infty)$
Range: $(-\infty,\infty)$
Work Step by Step
We are given the hyperbola:
$\dfrac{x^2}{25}-\dfrac{y^2}{4}=1$
Graph the hyperbola.
From the graph we determine the domain $D$ and the range $R$:
$D=(-\infty,-5]\cup[5,\infty)$
$R=(-\infty,\infty)$