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Find the domain and range of 5/(x+3)

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kboy217 | Student, Undergraduate | (Level 1) Honors

Posted July 12, 2012 at 6:40 AM via web

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Find the domain and range of 5/(x+3)

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 12, 2012 at 6:47 AM (Answer #1)

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The domain of a function f(x) is the set of values that x can take for which f(x) is a real number and the range of f(x) is all the values f(x) for x lying in the domain.

For f(x) = `5/(x + 3)`

The domain is R - {-3} as the result of a number divided by 0 is not defined.

The range of f(x) is R - {0} as for no value of x is the value of f(x) equal to 0.

The required domain is R - {-3} and the range is R - {0}

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