What is the range of f(x)= 1/x-4 ?

The range of f(x)= 1/x-4 is f(x) -4

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range of f(x)= 1/x-4

range

f (x) = \frac{1}{x} - 4

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{1}{x} - 4

Inverse of

\frac{1}{x} - 4 : \frac{1}{x + 4}

\frac{1}{x + 4}

Find the domain of each inverse function

Domain of

\frac{1}{x + 4} : x < - 4 or x > - 4

Combine the intervals

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

f (x) = 6 + \frac{1}{7 x}

(5) (3.4)

f (x) = (3 x - 1) (x + 3) (x - 2)

x - 2 y = 6

f (x) = \frac{x - 3}{x + 9}

What is the range of f(x)= 1/x-4 ?
The range of f(x)= 1/x-4 is f(x)<-4\lor f(x)>-4