What is the range of 2/(2x-1) ?

The range of 2/(2x-1) is f(x) 0

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range of 2/(2x-1)

range

\frac{2}{2 x - 1}

f (x) < 0 or f (x) > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{2}{2 x - 1}

Inverse of

\frac{2}{2 x - 1} : \frac{2 + x}{2 x}

\frac{2 + x}{2 x}

Find the domain of each inverse function

Domain of

\frac{2 + x}{2 x} : x < 0 or x > 0

Combine the intervals

f (x) < 0 or f (x) > 0

lo g_{2} (x + 2) - 4

y = \frac{x + 2}{x ^{2} - x - 2}

f (x) = x^{2} + 3 x + 1

f (x) = \frac{1}{x ^{2} - 9}

f (g) = g