What is the range of (x+2)/(x+4) ?

The range of (x+2)/(x+4) is f(x) 1

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range of (x+2)/(x+4)

range

\frac{x + 2}{x + 4}

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{x + 2}{x + 4}

Inverse of

\frac{x + 2}{x + 4} : \frac{2 - 4 x}{x - 1}

\frac{2 - 4 x}{x - 1}

Find the domain of each inverse function

Domain of

\frac{2 - 4 x}{x - 1} : x < 1 or x > 1

Combine the intervals

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

f (x) = - x + 10

f (x) = 3 x - \frac{2}{x + 1}

sin^{2} (x)

f (x) = \frac{x + 3}{x ^{2} - 9}

y = 3 sin (\frac{x}{2} \frac{- π}{3})

What is the range of (x+2)/(x+4) ?
The range of (x+2)/(x+4) is f(x)<1\lor f(x)>1