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

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

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

range

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

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}{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 < 0 or x > 0

Combine the intervals

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

f (x) = e^{x} - e^{3 x}

- 9 (x - 3)^{2} + 1

y = x^{9 c o s (x)}

f (x) = 5 x^{2} + 1

4 x^{3}

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