Question

state the domain and range for the following relation.... {(x,y):y=1/2x^2-5}

Answer 1

\[y=\frac{1}{2x^2-5}\] set
\[2x^2-*5=0\]
\[x^2=\frac{5}{2}\]
\[x=\pm\sqrt{\frac{5}{2}}\] so all numbers except those two

Answer 2

range from \[(-\infty,-\frac{1}{5}]\cup (0,\infty)\]