Find The Domain And Range F(x)=1/(x^2-2x+1) | Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Domain and Range f(x)=1/(x^2-2x+1) Step 1Set the denominator in equal to to find where the expression is undefined.Step 2Solve for .Tap for more steps...Step 2.1Factor using the perfect square rule.Tap for more steps...Step 2.1.1Rewrite as .Step 2.1.2Check that the middle term is two times the product of the numbers being squared in the first term and third term.Step 2.1.3Rewrite the polynomial.Step 2.1.4Factor using the perfect square trinomial rule , where and .Step 2.2Set the equal to .Step 2.3Add to both sides of the equation.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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