how do you find the domain of the function h(x)= 5/(x-3)

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To find the domain, set the denominator to = 0 and solve for x. x - 3 = 0 x = 3 This means that x can be any other number except for 3. When x = 3 in this case, you create division by zero which does not exist. DOMAIN = ALL REAL NUMBERS except that x CANNOT = 3.