What is the range of f(x)= 4/(6-x) ?

The range of f(x)= 4/(6-x) is f(x) 0

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range of f(x)= 4/(6-x)

range

f (x) = \frac{4}{6 - 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{4}{6 - x}

Inverse of

\frac{4}{6 - x} : - \frac{4 - 6 x}{x}

- \frac{4 - 6 x}{x}

Find the domain of each inverse function

Domain of

- \frac{4 - 6 x}{x} : x < 0 or x > 0

Combine the intervals

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

y = 3 x^{2} + 6 x + 11

f (x) = \frac{x}{6}

f (x) = (ln (x))^{2}

f (x) = 3 x

\frac{x - 1}{3}

What is the range of f(x)= 4/(6-x) ?
The range of f(x)= 4/(6-x) is f(x)<0\lor f(x)>0