91Ó°ÊÓ

In Exercises find (a) the directed distance from a to \(b,(b)\) the directed distance from \(b\) to \(a,\) and \((c)\) the distance between \(a\) and \(b .\) $$ a=126, b=75 $$

Perform the indicated operations and simplify your answer. $$ \frac{2 x}{x^{2}+2}-\frac{1-3 x}{x^{2}+2} $$

In Exercises use absolute values to describe the given interval (or pair of intervals) on the real number line. $$ [2,8] $$

Solve the inequality and sketch the graph of the solution on the real number line. $$ |9-2 x| < 1 $$

simplify by removing all possible factors from the radical. $$ \sqrt[3]{54 x^{5}} $$

find the domain of the given expression. $$ \sqrt{x^{2}+3} $$