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

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

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

Domain : x < 0 or x > 0

X Intercepts : (0.78389 \dots, 0)

Asymptotes : Slant y = 3 x - 2

Extreme Points : Maximum (- 1, - 7)

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Solution steps

Domain of

3 x - 2 + \frac{1}{x} - \frac{1}{x ^{2}} : x < 0 or x > 0

Axis interception points of

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

X Intercepts

: (0.78389 \dots, 0)

Asymptotes of

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

Slant

: y = 3 x - 2

Extreme Points of

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

Maximum

(- 1, - 7)

\int \frac{x}{2 - x - x ^{2}} d x

x y^{2} \frac{d y}{d x} = y^{3} + x^{3}

\frac{1}{s ( s ^{2} + 5 )}

x \to 0 lim (sin (3 x))

j \to \infty lim (\frac{2 e ^{j} + e ^{- j} + 2 e ^{4} + 1}{e ^{j} + e ^{4}})