What is the range of f(x)= 5/(x+8) ?

The range of f(x)= 5/(x+8) is f(x) 0

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range of f(x)= 5/(x+8)

range

f (x) = \frac{5}{x + 8}

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{5}{x + 8}

Inverse of

\frac{5}{x + 8} : \frac{5}{x} - 8

\frac{5}{x} - 8

Find the domain of each inverse function

Domain of

\frac{5}{x} - 8 : x < 0 or x > 0

Combine the intervals

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

f (x) = \frac{2 - x}{5}

\frac{1 - x ^{2}}{2 x + 1}

f (x) = x + 7

f (x) = - x^{2} - 2 x + 5

f (x) = \frac{8}{3 + x}

What is the range of f(x)= 5/(x+8) ?
The range of f(x)= 5/(x+8) is f(x)<0\lor f(x)>0