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Popular >

f(x)=(2x+5)/(1-x^2)

Solution

f (x) = \frac{2 x + 5}{1 - x ^{2}}

Solution

Domain : x < - 1 or - 1 < x < 1 or x > 1

Range : f (x) \leq \frac{- 21 + 5}{2} or f (x) \geq \frac{21 + 5}{2}

X Intercepts : (- \frac{5}{2}, 0), Y Intercepts : (0, 5)

Asymptotes : Vertical x = - 1, x = 1, Horizontal y = 0

Extreme Points : Maximum (- \frac{5 + 21}{2}, - \frac{21 - 5}{2}), Minimum (\frac{- 5 + 21}{2}, \frac{5 + 21}{2})

+1

Solution steps

Domain of

\frac{2 x + 5}{1 - x ^{2}} : x < - 1 or - 1 < x < 1 or x > 1

Range of

\frac{2 x + 5}{1 - x ^{2}} : f (x) \leq \frac{- 21 + 5}{2} or f (x) \geq \frac{21 + 5}{2}

Axis interception points of

\frac{2 x + 5}{1 - x ^{2}} :

X Intercepts

: (- \frac{5}{2}, 0),

Y Intercepts

: (0, 5)

Asymptotes of

\frac{2 x + 5}{1 - x ^{2}} :

Vertical

: x = - 1, x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{2 x + 5}{1 - x ^{2}} :

Maximum

(- \frac{5 + 21}{2}, - \frac{21 - 5}{2}),

Minimum

(\frac{- 5 + 21}{2}, \frac{5 + 21}{2})

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Frequently Asked Questions (FAQ)

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