What is the range of (5-8x)/(2x) ?

The range of (5-8x)/(2x) is f(x) -4

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range of (5-8x)/(2x)

range

\frac{5 - 8 x}{2 x}

f (x) < - 4 or f (x) > - 4

Interval Notation

(- \infty, - 4) \cup (- 4, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{5 - 8 x}{2 x}

Inverse of

\frac{5 - 8 x}{2 x} : \frac{5}{2 ( x + 4 )}

\frac{5}{2 ( x + 4 )}

Find the domain of each inverse function

Domain of

\frac{5}{2 ( x + 4 )} : x < - 4 or x > - 4

Combine the intervals

f (x) < - 4 or f (x) > - 4

f (x) = x^{4} - 6 x

f (x) = \frac{3}{x - 1}

y - 4 = (x - 2)^{2}

x^{4} - x^{2} sin (x) + 1

6 x + 3 y = 10, (- 13, - 8)

What is the range of (5-8x)/(2x) ?
The range of (5-8x)/(2x) is f(x)<-4\lor f(x)>-4