What is the range of (3x)/(7x-8) ?

The range of (3x)/(7x-8) is f(x) 3/7

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range of (3x)/(7x-8)

range

\frac{3 x}{7 x - 8}

f (x) < \frac{3}{7} or f (x) > \frac{3}{7}

Interval Notation

(- \infty, \frac{3}{7}) \cup (\frac{3}{7}, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{3 x}{7 x - 8}

Inverse of

\frac{3 x}{7 x - 8} : \frac{8 x}{7 x - 3}

\frac{8 x}{7 x - 3}

Find the domain of each inverse function

Domain of

\frac{8 x}{7 x - 3} : x < \frac{3}{7} or x > \frac{3}{7}

Combine the intervals

f (x) < \frac{3}{7} or f (x) > \frac{3}{7}

x^{2} + 6 x

(- 1.8) (4)

v (t) = 4 t - 2

\frac{1}{4} x - 2

What is the range of (3x)/(7x-8) ?
The range of (3x)/(7x-8) is f(x)< 3/7 \lor f(x)> 3/7