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Popular >

f(x)=(sqrt(9-x^2))/(2x+1)

Solution

f (x) = \frac{9 - x ^{2}}{2 x + 1}

Solution

Domain : - 3 \leq x < - \frac{1}{2} or - \frac{1}{2} < x \leq 3

Range : - \infty < f (x) < \infty

X Intercepts : (3, 0), (- 3, 0), Y Intercepts : (0, 3)

Asymptotes : Vertical x = - \frac{1}{2}

Extreme Points : Maximum (- 3, 0), Minimum (3, 0)

+1

Solution steps

Domain of

\frac{9 - x ^{2}}{2 x + 1} : - 3 \leq x < - \frac{1}{2} or - \frac{1}{2} < x \leq 3

Range of

\frac{9 - x ^{2}}{2 x + 1} : - \infty < f (x) < \infty

Axis interception points of

\frac{9 - x ^{2}}{2 x + 1} :

X Intercepts

: (3, 0), (- 3, 0),

Y Intercepts

: (0, 3)

Asymptotes of

\frac{9 - x ^{2}}{2 x + 1} :

Vertical

: x = - \frac{1}{2}

Extreme Points of

\frac{9 - x ^{2}}{2 x + 1} :

Maximum

(- 3, 0),

Minimum

(3, 0)

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Frequently Asked Questions (FAQ)

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