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Popular >

f(x)=(5x^3+7x^2+8)/(x-9)

Solution

f (x) = \frac{5 x ^{3} + 7 x ^{2} + 8}{x - 9}

Solution

Domain : x < 9 or x > 9

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

X Intercepts : (- 1.86165 \dots, 0), Y Intercepts : (0, - \frac{8}{9})

Asymptotes : Vertical x = 9

Extreme Points : Minimum (- 0.85420 \dots, - 1.01390 \dots), Maximum (- 0.06824 \dots, - 0.88561 \dots), Minimum (13.72245 \dots, 3016.69952 \dots)

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Interval Notation

Domain : (- \infty, 9) \cup (9, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{5 x ^{3} + 7 x ^{2} + 8}{x - 9} : x < 9 or x > 9

Range of

\frac{5 x ^{3} + 7 x ^{2} + 8}{x - 9} : - \infty < f (x) < \infty

Axis interception points of

\frac{5 x ^{3} + 7 x ^{2} + 8}{x - 9} :

X Intercepts

: (- 1.86165 \dots, 0),

Y Intercepts

: (0, - \frac{8}{9})

Asymptotes of

\frac{5 x ^{3} + 7 x ^{2} + 8}{x - 9} :

Vertical

: x = 9

Extreme Points of

\frac{5 x ^{3} + 7 x ^{2} + 8}{x - 9} :

Minimum

(- 0.85420 \dots, - 1.01390 \dots),

Maximum

(- 0.06824 \dots, - 0.88561 \dots),

Minimum

(13.72245 \dots, 3016.69952 \dots)

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Frequently Asked Questions (FAQ)

What is the f(x)=(5x^3+7x^2+8)/(x-9) ?
The f(x)=(5x^3+7x^2+8)/(x-9) is