What is the range of y= 7/(2x-10) ?

The range of y= 7/(2x-10) is f(x) 0

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range of y= 7/(2x-10)

range

y = \frac{7}{2 x - 10}

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{7}{2 x - 10}

Inverse of

\frac{7}{2 x - 10} : \frac{7 + 10 x}{2 x}

\frac{7 + 10 x}{2 x}

Find the domain of each inverse function

Domain of

\frac{7 + 10 x}{2 x} : x < 0 or x > 0

Combine the intervals

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

2.5 t + 15.5

y = 3 tan (9 x - 7) + 3

cos (2 π t)

f (x) = e^{x}

15 x - 5 y = 13

What is the range of y= 7/(2x-10) ?
The range of y= 7/(2x-10) is f(x)<0\lor f(x)>0