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The range of the function f(x)= 3/(x+4) -2 is all real numbers except -2, represented in interval notation as (-∞, -2) U (-2, ∞).
The function f(x) = 3/(x+4) - 2 has values that approach -2 as x goes to plus or minus infinity. However, it does not exist when x = -4 since division by zero is undefined. Therefore, the range of values for this function are all real numbers except -2.
The range in interval notation is given by (-∞, -2) U (-2, ∞), where U is the union symbol. This means that the range comprises of all real numbers below -2 and all real numbers above -2, but does not include -2 itself.
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