What is the range of (5x)/(6x-1) ?

The range of (5x)/(6x-1) is f(x) 5/6

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range of (5x)/(6x-1)

range

\frac{5 x}{6 x - 1}

f (x) < \frac{5}{6} or f (x) > \frac{5}{6}

Interval Notation

(- \infty, \frac{5}{6}) \cup (\frac{5}{6}, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{5 x}{6 x - 1}

Inverse of

\frac{5 x}{6 x - 1} : \frac{x}{6 x - 5}

\frac{x}{6 x - 5}

Find the domain of each inverse function

Domain of

\frac{x}{6 x - 5} : x < \frac{5}{6} or x > \frac{5}{6}

Combine the intervals

f (x) < \frac{5}{6} or f (x) > \frac{5}{6}

4 y - 7 x = - 4

f (x) = 2 + - 1 - x

\frac{1}{x} - 1

m = 3, (2, 5)

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

What is the range of (5x)/(6x-1) ?
The range of (5x)/(6x-1) is f(x)< 5/6 \lor f(x)> 5/6