Problem 58 of 7
Find the inverse of the rational function f(x)=4/x+1.
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solve rational equation for x.
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Solve rational equation for x and state inverse restrictions.
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Solution
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1. Write y as the rational expression and swap x and y.
2. Clear denominators carefully.
3. Collect y terms on one side and factor y.
4. Solve for y and state excluded inverse-domain values.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Cross-multiplication steps that lose excluded output values.