What is the range of f(x)=-(10)/x ?

The range of f(x)=-(10)/x is f(x) 0

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range of f(x)=-(10)/x

range

f (x) = - \frac{10}{x}

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{10}{x}

Inverse of

- \frac{10}{x} : - \frac{10}{x}

- \frac{10}{x}

Find the domain of each inverse function

Domain of

- \frac{10}{x} : x < 0 or x > 0

Combine the intervals

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

y + 3 = - \frac{4}{3} (x - 4)

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

y = \frac{1}{2} x + 6

(0) (6)

(- 4, 6), (10, - 10)

What is the range of f(x)=-(10)/x ?
The range of f(x)=-(10)/x is f(x)<0\lor f(x)>0