What is the range of h(x)=(2x)/(x-11) ?

The range of h(x)=(2x)/(x-11) is f(x) 2

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range of h(x)=(2x)/(x-11)

range

h (x) = \frac{2 x}{x - 11}

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{2 x}{x - 11}

Inverse of

\frac{2 x}{x - 11} : \frac{11 x}{x - 2}

\frac{11 x}{x - 2}

Find the domain of each inverse function

Domain of

\frac{11 x}{x - 2} : x < 2 or x > 2

Combine the intervals

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

2 x + 3 y = 1470

f (x) = 4 x^{2} + 9

f (x) = 5 + 2 x

f (x) = 2 x^{2} - 12 x - 5

What is the range of h(x)=(2x)/(x-11) ?
The range of h(x)=(2x)/(x-11) is f(x)<2\lor f(x)>2