What is the range of (sqrt(x-4))/(x-11) ?

The range of (sqrt(x-4))/(x-11) is -infinity <f(x)<infinity

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range of (sqrt(x-4))/(x-11)

range

\frac{x - 4}{x - 11}

- \infty < f (x) < \infty

Interval Notation

(- \infty, \infty)

Solution steps

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

Domain of

\frac{x - 4}{x - 11} : 4 \leq x < 11 or x > 11

Extreme Points of

\frac{x - 4}{x - 11} :

Maximum

(4, 0)

Find the range for the interval

4 \leq x < 11 : - \infty < f (x) \leq 0

Find the range for the interval

11 < x < \infty : 0 < f (x) < \infty

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

f (x) \leq 0 or f (x) > 0

- \infty < f (x) < \infty

3 x + 14

f (x) = 3 x^{3} + 1

ln (x) 1.525

\frac{x}{9 x - 7}

5 x + 9 y - 45 = 0

What is the range of (sqrt(x-4))/(x-11) ?
The range of (sqrt(x-4))/(x-11) is -infinity <f(x)<infinity