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Popular >

f(x)=(sqrt(3-2x))/(x^2-81)

Solution

f (x) = \frac{3 - 2 x}{x ^{2} - 81}

Solution

Domain : x < - 9 or - 9 < x \leq \frac{3}{2}

X Intercepts : (\frac{3}{2}, 0), Y Intercepts : (0, - \frac{1}{27 3})

Asymptotes : Vertical x = - 9

Extreme Points : Maximum (\frac{3}{2}, 0)

+1

Interval Notation

Domain : (- \infty, - 9) \cup (- 9, \frac{3}{2}]

Solution steps

Domain of

\frac{3 - 2 x}{x ^{2} - 81} : x < - 9 or - 9 < x \leq \frac{3}{2}

Axis interception points of

\frac{3 - 2 x}{x ^{2} - 81} :

X Intercepts

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

Y Intercepts

: (0, - \frac{1}{27 3})

Asymptotes of

\frac{3 - 2 x}{x ^{2} - 81} :

Vertical

: x = - 9

Extreme Points of

\frac{3 - 2 x}{x ^{2} - 81} :

Maximum

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

Popular Examples

f(x)=cos^2(x)+2cos(x)+1

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f (x) = (x^{3})^{2}

y = 2 x^{- 2}

y = x^{2} + x + 4

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

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

Frequently Asked Questions (FAQ)

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