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Popular >

f(x)=(x-sqrt(6-x))/(x-2)

Solution

f (x) = \frac{x - 6 - x}{x - 2}

Solution

Domain : x < 2 or 2 < x \leq 6

Range : 1 < f (x) < \frac{5}{4} or \frac{5}{4} < f (x) \leq \frac{3}{2}

Y Intercepts : (0, \frac{3}{2})

Asymptotes : Horizontal y = 1

Extreme Points : Maximum (6, \frac{3}{2})

+1

Solution steps

Domain of

\frac{x - 6 - x}{x - 2} : x < 2 or 2 < x \leq 6

Range of

\frac{x - 6 - x}{x - 2} : 1 < f (x) < \frac{5}{4} or \frac{5}{4} < f (x) \leq \frac{3}{2}

Axis interception points of

\frac{x - 6 - x}{x - 2} :

Y Intercepts

: (0, \frac{3}{2})

Asymptotes of

\frac{x - 6 - x}{x - 2} :

Horizontal

: y = 1

Extreme Points of

\frac{x - 6 - x}{x - 2} :

Maximum

(6, \frac{3}{2})

Popular Examples

y = x (12 - x^{2})

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f(x)=9x^2+28x+50

f (x) = 9 x^{2} + 28 x + 50

Frequently Asked Questions (FAQ)

What is the f(x)=(x-sqrt(6-x))/(x-2) ?
The f(x)=(x-sqrt(6-x))/(x-2) is