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Popular >

f(x)=((x^3+3x+2))/((x^2-1))

Solution

f (x) = \frac{( x ^{3} + 3 x + 2 )}{( x ^{2} - 1 )}

Solution

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

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

X Intercepts : (- 0.59607 \dots, 0), Y Intercepts : (0, - 2)

Asymptotes : Vertical x = - 1, x = 1, Slant y = x

Extreme Points : Maximum (- 2.19071 \dots, - 3.97077 \dots), Minimum (2.79549 \dots, 4.72981 \dots)

+1

Solution steps

Domain of

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

Range of

\frac{x ^{3} + 3 x + 2}{x ^{2} - 1} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} + 3 x + 2}{x ^{2} - 1} :

X Intercepts

: (- 0.59607 \dots, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

\frac{x ^{3} + 3 x + 2}{x ^{2} - 1} :

Vertical

: x = - 1, x = 1,

Slant

: y = x

Extreme Points of

\frac{x ^{3} + 3 x + 2}{x ^{2} - 1} :

Maximum

(- 2.19071 \dots, - 3.97077 \dots),

Minimum

(2.79549 \dots, 4.72981 \dots)

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y=log_{2}(((x))/((2)))

y = lo g_{2} (\frac{( x )}{( 2 )})

Frequently Asked Questions (FAQ)

What is the f(x)=((x^3+3x+2))/((x^2-1)) ?
The f(x)=((x^3+3x+2))/((x^2-1)) is