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

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

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range of f(x)= 7/x-2

range

f (x) = \frac{7}{x} - 2

f (x) < - 2 or f (x) > - 2

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{7}{x} - 2

Inverse of

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

\frac{7}{x + 2}

Find the domain of each inverse function

Domain of

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

Combine the intervals

f (x) < - 2 or f (x) > - 2

f (x) = 2 x^{3} - 1

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

m = \frac{4}{9}, (- 5, - 10)

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

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