# What is the domain and range of #f(x) = 1/(2x+4)#?

Domain:

Range:

First, note that your function can be rewritten as

You'll see that the function can never be equal to zero because you're working with a fraction that has a constant numerator.

graph{1/(2x + 4) [-3.12, 3.123, 6.243, 6.243]}

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Domain: All real numbers except for x = -2.

Range: All real numbers except for y = 0.

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