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What is the range of the following function?
y=(1/x+2)-1

User Riddhi
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Final answer:

The range of the given function y = (1/x+2) - 1 is all real numbers except -2.

Step-by-step explanation:

The range of a function represents the set of all possible values that the function can output. To find the range of the given function y = (1/x+2) - 1, we need to determine the possible values of y.

Since the graph of this function is a hyperbola, the range is all real numbers except the value that makes the denominator of the fraction equal to zero.

In this case, the denominator is x + 2, so we can determine the value that makes it equal to zero by solving the equation x + 2 = 0.

The solution is x = -2.

Therefore, the range of the function is all real numbers except -2.

User Ferrmolina
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