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Popular >

f(x)=(x^3+27)/(x^2+4)

Solution

f (x) = \frac{x ^{3} + 27}{x ^{2} + 4}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 3, 0), Y Intercepts : (0, \frac{27}{4})

Asymptotes : Slant y = x

Extreme Points : Maximum (0, \frac{27}{4}), Minimum (2.75584 \dots, 4.13377 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} + 27}{x ^{2} + 4} : - \infty < x < \infty

Range of

\frac{x ^{3} + 27}{x ^{2} + 4} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} + 27}{x ^{2} + 4} :

X Intercepts

: (- 3, 0),

Y Intercepts

: (0, \frac{27}{4})

Asymptotes of

\frac{x ^{3} + 27}{x ^{2} + 4} :

Slant

: y = x

Extreme Points of

\frac{x ^{3} + 27}{x ^{2} + 4} :

Maximum

(0, \frac{27}{4}),

Minimum

(2.75584 \dots, 4.13377 \dots)

Popular Examples

factor 2x-4 factor

2 x - 4

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f (x) = tan (x)

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

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

f (x) = \frac{3 x}{5}

Frequently Asked Questions (FAQ)

What is the f(x)=(x^3+27)/(x^2+4) ?
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