What is the range of (x^2-25)/(x-5) ?

The range of (x^2-25)/(x-5) is f(x) 10

Popular >

range of (x^2-25)/(x-5)

range

\frac{x ^{2} - 25}{x - 5}

f (x) < 10 or f (x) > 10

Interval Notation

(- \infty, 10) \cup (10, \infty)

Solution steps

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

Domain of

\frac{x ^{2} - 25}{x - 5} : x < 5 or x > 5

Simplify

\frac{x ^{2} - 25}{x - 5} : x + 5

Extreme Points of

x + 5 :

None

Find the range for the interval

- \infty < x < 5 : - \infty < f (x) < 10

Find the range for the interval

5 < x < \infty : 10 < f (x) < \infty

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

f (x) < 10 or f (x) > 10

f (x) < 10 or f (x) > 10

y = 5 x - 2

f (x) = (\frac{x}{10} + 3)^{7}

(- 1, - 1), (7, - 7)

f (x) = 16 x + \frac{25}{x}

f (x) = \frac{x ^{3}}{x ^{2} + 3 x - 10}

What is the range of (x^2-25)/(x-5) ?
The range of (x^2-25)/(x-5) is f(x)<10\lor f(x)>10