Problem 21 of 34fun-021
If , which of the following expressions is equal to , the inverse function of ?
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Solution walkthrough1:47
- An inverse function undoes by swapping each input with its output. Its graph is the mirror image across .
- Write . Then swap and , because the inverse trades input and output: .
- Solve for . Add to both sides: . Divide both sides by : .
- Check: , and . The inverse sends back to .
- Traps: subtracting instead of adding it, dividing only the by , and reading as .