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Given f(x) = x +1; g(x) = x − 2; h(x) = 2/x Perform the indicated operations and...

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spock9 | Student, Undergraduate | (Level 1) Honors

Posted May 8, 2012 at 4:35 PM via web

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Given f(x) = x +1; g(x) = x − 2; h(x) = 2/x Perform the indicated operations and supply the domain of the resulting function:

h(g(x))

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 8, 2012 at 4:39 PM (Answer #1)

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The function g(x) = x − 2 and h(x) = 2/x

h(g(x)) = h(x - 2) = 2/(x - 2)

The domain of h(g(x)) is R - {2}

The function h(g(x)) = 2/(x - 2) and its domain is R - {2}

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