What is the range of f(x)= 1/x+1 ?

The range of f(x)= 1/x+1 is f(x) 1

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range of f(x)= 1/x+1

range

f (x) = \frac{1}{x} + 1

f (x) < 1 or f (x) > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{1}{x} + 1

Inverse of

\frac{1}{x} + 1 : \frac{1}{x - 1}

\frac{1}{x - 1}

Find the domain of each inverse function

Domain of

\frac{1}{x - 1} : x < 1 or x > 1

Combine the intervals

f (x) < 1 or f (x) > 1

\frac{x + 2}{4}

f (x) = \frac{5 x}{x - 2}

f (x) = 2 x + 6 y = 2

f (x) = 4 - x^{2} + x + 1

What is the range of f(x)= 1/x+1 ?
The range of f(x)= 1/x+1 is f(x)<1\lor f(x)>1