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Popular >

f(x)=(sqrt(x-3))/(x^2-2)

Solution

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

Solution

Domain : x \geq 3

Range : 0 \leq f (x) \leq \frac{( 3 10 - 4 3 ) 30 - 3}{56}

X Intercepts : (3, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (3, 0), Maximum (\frac{6 + 30}{3}, \frac{( 3 10 - 4 3 ) 30 - 3}{56})

+1

Interval Notation

Domain : [3, \infty)

Range : [0, \frac{( 3 10 - 4 3 ) 30 - 3}{56}]

Solution steps

Domain of

\frac{x - 3}{x ^{2} - 2} : x \geq 3

Range of

\frac{x - 3}{x ^{2} - 2} : 0 \leq f (x) \leq \frac{( 3 10 - 4 3 ) 30 - 3}{56}

Axis interception points of

\frac{x - 3}{x ^{2} - 2} :

X Intercepts

: (3, 0)

Asymptotes of

\frac{x - 3}{x ^{2} - 2} :

Horizontal

: y = 0

Extreme Points of

\frac{x - 3}{x ^{2} - 2} :

Minimum

(3, 0),

Maximum

(\frac{6 + 30}{3}, \frac{( 3 10 - 4 3 ) 30 - 3}{56})

Popular Examples

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f(x)=2x^3-3x^2-5x+6

f (x) = 2 x^{3} - 3 x^{2} - 5 x + 6

Frequently Asked Questions (FAQ)

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