Find for
Foundations
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How would you find the inverse for a simpler function like
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Answer:
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You would replace with . Then, switch and . Finally, we would solve for .
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Solution:
Step 1:
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We start by replacing with .
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This leaves us with
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Step 2:
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Now, we swap and to get .
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Step 3:
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Starting with , we multiply both sides by to get
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.
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Now, we need to get all the terms on one side. So, adding and to both sides we get
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.
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Step 4:
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Factoring out , we get . Now, dividing by , we get
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. Replacing with , we arrive at the final answer
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Final Answer:
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