Find The Domain And Range F(x)=(5x)/(x^2-4) | Mathway
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Enter a problem... Algebra Examples Popular Problems Algebra Find the Domain and Range f(x)=(5x)/(x^2-4) Step 1Set the denominator in equal to to find where the expression is undefined.Step 2Solve for .Tap for more steps...Step 2.1Add to both sides of the equation.Step 2.2Take the specified root of both sides of the equation to eliminate the exponent on the left side.Step 2.3Simplify .Tap for more steps...Step 2.3.1Rewrite as .Step 2.3.2Pull terms out from under the radical, assuming positive real numbers.Step 2.4The complete solution is the result of both the positive and negative portions of the solution.Tap for more steps...Step 2.4.1First, use the positive value of the to find the first solution.Step 2.4.2Next, use the negative value of the to find the second solution.Step 2.4.3The complete solution is the result of both the positive and negative portions of the solution.Step 3The domain is all values of that make the expression defined.Interval Notation:Set-Builder Notation:Step 4The range is the set of all valid values. Use the graph to find the range.Interval Notation:Set-Builder Notation:Step 5Determine the domain and range.Domain: Range: Step 6
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