What is the f(x)=(2x)/((x^2-5x+6)(x^2+2)^2) ?

The f(x)=(2x)/((x^2-5x+6)(x^2+2)^2) is

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f(x)=(2x)/((x^2-5x+6)(x^2+2)^2)

f (x) = \frac{2 x}{( x ^{2} - 5 x + 6 ) ( x ^{2} + 2 ) ^{2}}

Domain : x < 2 or 2 < x < 3 or x > 3

Range : f (x) \leq - 0.28233 \dots or f (x) \geq - 0.02301 \dots

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 2, x = 3, Horizontal y = 0

Extreme Points : Minimum (- 0.59661 \dots, - 0.02301 \dots), Maximum (2.59661 \dots, - 0.28233 \dots)

Interval Notation

Domain : (- \infty, 2) \cup (2, 3) \cup (3, \infty)

Range : (- \infty, - 0.28233 \dots] \cup [- 0.02301 \dots, \infty)

Solution steps

Domain of

\frac{2 x}{( x ^{2} - 5 x + 6 ) ( x ^{2} + 2 ) ^{2}} : x < 2 or 2 < x < 3 or x > 3

Range of

\frac{2 x}{( x ^{2} - 5 x + 6 ) ( x ^{2} + 2 ) ^{2}} : f (x) \leq - 0.28233 \dots or f (x) \geq - 0.02301 \dots

Axis interception points of

\frac{2 x}{( x ^{2} - 5 x + 6 ) ( x ^{2} + 2 ) ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{2 x}{( x ^{2} - 5 x + 6 ) ( x ^{2} + 2 ) ^{2}} :

Vertical

: x = 2, x = 3,

Horizontal

: y = 0

Extreme Points of

\frac{2 x}{( x ^{2} - 5 x + 6 ) ( x ^{2} + 2 ) ^{2}} :

Minimum

(- 0.59661 \dots, - 0.02301 \dots),

Maximum

(2.59661 \dots, - 0.28233 \dots)

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

f (x) = 3 x^{3} + 6 x^{2} + 7 x

y = sin (x - π)

y = x^{2} + 12 x + 40

y = - 3 cos (2 x)

What is the f(x)=(2x)/((x^2-5x+6)(x^2+2)^2) ?
The f(x)=(2x)/((x^2-5x+6)(x^2+2)^2) is