Algebra1

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What is the domain of the following function?

f(x) = √ -x + 2 - 1

  • Algebra1 -

    You will have to use brackets to show where the square root ends

    I suspect it is f(x) = √(-x+2) - 1 , or else why not combine the +2-1 ?

    then the number under the square root must not be negative, that is ...
    -x + 2 ≥ 0
    -x ≥ -2
    x ≤ 2

  • Algebra1 -

    depends. How much of all that is under the radical sign?

    Once you specify that, just remember that the domain of √u is u>=0.

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