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29 August, 00:53

Let f (x) = 2x^2+x-3 and g (x) = x-1. Perform the indicated operation, then find the domain. (F/g) (x)

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  1. 29 August, 03:15
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    The form (f/g) (x) is equal to f (x) divided by g (x). From the equation given by the question, the form (f/g) (x) is just equal to (2x^2+x-3) divided by (x-1).

    (f/g) (x) = (2x^2+x-3) / (x-1)

    (f/g) (x) = (2x+3) (x-1) / (x-1)

    (f/g) (x) = (2x+3)

    To get the domain, equate (2x+3) to zero.

    2x+3 = 0

    x = - (3/2)

    So the domain is all set of integers except - (3/2)
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