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Popular >

f(x)=(2x^2-4x+7)/(x^2-9)

Solution

f (x) = \frac{2 x ^{2} - 4 x + 7}{x ^{2} - 9}

Solution

Domain : x < - 3 or - 3 < x < 3 or x > 3

Range : f (x) \leq \frac{- 481 + 11}{18} or f (x) \geq \frac{481 + 11}{18}

Y Intercepts : (0, - \frac{7}{9})

Asymptotes : Vertical x = - 3, x = 3, Horizontal y = 2

Extreme Points : Maximum (\frac{25 - 481}{4}, - \frac{481 - 11}{18}), Minimum (\frac{25 + 481}{4}, \frac{11 + 481}{18})

+1

Solution steps

Domain of

\frac{2 x ^{2} - 4 x + 7}{x ^{2} - 9} : x < - 3 or - 3 < x < 3 or x > 3

Range of

\frac{2 x ^{2} - 4 x + 7}{x ^{2} - 9} : f (x) \leq \frac{- 481 + 11}{18} or f (x) \geq \frac{481 + 11}{18}

Axis interception points of

\frac{2 x ^{2} - 4 x + 7}{x ^{2} - 9} :

Y Intercepts

: (0, - \frac{7}{9})

Asymptotes of

\frac{2 x ^{2} - 4 x + 7}{x ^{2} - 9} :

Vertical

: x = - 3, x = 3,

Horizontal

: y = 2

Extreme Points of

\frac{2 x ^{2} - 4 x + 7}{x ^{2} - 9} :

Maximum

(\frac{25 - 481}{4}, - \frac{481 - 11}{18}),

Minimum

(\frac{25 + 481}{4}, \frac{11 + 481}{18})

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Frequently Asked Questions (FAQ)

What is the f(x)=(2x^2-4x+7)/(x^2-9) ?
The f(x)=(2x^2-4x+7)/(x^2-9) is