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anonymous

  • one year ago

Which function below is the inverse of f(x) = x2 − 16? a) x squared over 16 b)±4square root of x c) ±square root of the quantity x plus 16 d) 1 over quantity x squared minus 16

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  1. netlopes1
    • one year ago
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    Inverse function? Simply replace "x" with "y" and vice versa, like this:\[f(x)=x^2 - 16 \quad or \quad y=x^2 - 16 \rightarrow reversing \rightarrow x=y^2-16\]

  2. netlopes1
    • one year ago
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    Yet\[y^2=x+16 \rightarrow \quad Two \quad functions \rightarrow y=\sqrt{x+16} \quad or \quad y= - \sqrt{x+16}\]

  3. netlopes1
    • one year ago
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    Or simply\[y= \pm \sqrt{x+16}\], answer "c", ok?

  4. anonymous
    • one year ago
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    Thank you

  5. netlopes1
    • one year ago
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    you are welcome

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