What is the range of (-5)/(2x+7) ?

The range of (-5)/(2x+7) is f(x) 0

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range of (-5)/(2x+7)

range

\frac{- 5}{2 x + 7}

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{- 5}{2 x + 7}

Inverse of

\frac{- 5}{2 x + 7} : \frac{- 5 - 7 x}{2 x}

\frac{- 5 - 7 x}{2 x}

Find the domain of each inverse function

Domain of

\frac{- 5 - 7 x}{2 x} : x < 0 or x > 0

Combine the intervals

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

cos (8 x)

f (x) = x^{3} - 12 x + 6

cos (2 q)

f (x) = \frac{- 2 x + 10}{3}

x^{4} - 4 x^{3} + 3

What is the range of (-5)/(2x+7) ?
The range of (-5)/(2x+7) is f(x)<0\lor f(x)>0