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f(x)=root sign, and inside that x-2 and g(x)x-7. Which of the following is the domain of the quotient function?

A. (-infinity,2]
B. (-infinity,7) U (7,infinity)
C. [2,7) U (7,infinity)
D. (2, infinity)

  • Math -

    sqrt(x-2) /( x-7) ???
    x must be 2 or greater or we have the square root of a negative number, which is not real.
    x may not be 7 or we have a zero in the denominator
    therefore
    2 to 7 and 7 to + infinity
    C

  • Math -

    Is C the quotient function of f/g?

  • Math -

    yes

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