What is the range of 7/(2x-1) ?

The range of 7/(2x-1) is f(x) 0

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range of 7/(2x-1)

range

\frac{7}{2 x - 1}

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

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{7}{2 x - 1}

Inverse of

\frac{7}{2 x - 1} : \frac{7 + x}{2 x}

\frac{7 + x}{2 x}

Find the domain of each inverse function

Domain of

\frac{7 + x}{2 x} : x < 0 or x > 0

Combine the intervals

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

f (x) = \frac{x + 3}{x ^{2} + 4 x + 3}

y = - \frac{4}{12} x + b

f (x) = 4 sin (2 x - \frac{π}{6}) + 2

f (x) = 4 e^{x} - 1

f (x) = \frac{3 x + 5}{x}