What is the range of f(x)=(sqrt(x-4))/(x-10) ?

The range of f(x)=(sqrt(x-4))/(x-10) is -infinity <f(x)<infinity

Popular >

range of f(x)=(sqrt(x-4))/(x-10)

range

f (x) = \frac{x - 4}{x - 10}

- \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 - 10} : 4 \leq x < 10 or x > 10

Extreme Points of

\frac{x - 4}{x - 10} :

Maximum

(4, 0)

Find the range for the interval

4 \leq x < 10 : - \infty < f (x) \leq 0

Find the range for the interval

10 < 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

f (x) = \frac{3 x ^{2} + 2}{x ^{2} - 4}

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

(2.6) (4.1)

\frac{2 x ^{3} - x ^{2} - 2 x + 1}{x ^{2} + 3 x + 2}

f (x) = \frac{x ^{2} + 6 x - 7}{x ^{2} + 2 x - 3}

What is the range of f(x)=(sqrt(x-4))/(x-10) ?
The range of f(x)=(sqrt(x-4))/(x-10) is -infinity <f(x)<infinity