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

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

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

range

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

f (x) < - 4 or f (x) > - 4

Interval Notation

(- \infty, - 4) \cup (- 4, \infty)

Solution steps

Find the minimum and maximum value in each defined interval and unite the results

Domain of

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

Simplify

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

Extreme Points of

x - 2 :

None

Find the range for the interval

- \infty < x < - 2 : - \infty < f (x) < - 4

Find the range for the interval

- 2 < x < \infty : - 4 < f (x) < \infty

Combine the ranges of all domain intervals to obtain the function range

f (x) < - 4 or f (x) > - 4

f (x) < - 4 or f (x) > - 4

f (x) = - 2 x + 1

7 + x

(- \frac{5}{6}, - \frac{1}{2}), (0, \frac{6}{2})

f (x) = x^{8} e^{x} - 3

3 x - 2 y = 10

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