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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq \frac{64}{27}

Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- \frac{1}{2}, \frac{64}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \frac{64}{27}]

Solution steps

Domain of

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

Range of

\frac{1}{( x ^{2} + x + 1 ) ^{3}} : 0 < f (x) \leq \frac{64}{27}

Axis interception points of

\frac{1}{( x ^{2} + x + 1 ) ^{3}} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{1}{( x ^{2} + x + 1 ) ^{3}} :

Horizontal

: y = 0

Extreme Points of

\frac{1}{( x ^{2} + x + 1 ) ^{3}} :

Maximum

(- \frac{1}{2}, \frac{64}{27})

Popular Examples

f(x)=(x-3)/(x^2-81)

f (x) = \frac{x - 3}{x ^{2} - 81}

f(x)= 1/(sin^3(x))

f (x) = \frac{1}{sin ^{3} ( x )}

y= 4/(cos(x))+1/(tan(x))

y = \frac{4}{cos ( x )} + \frac{1}{tan ( x )}

y= 1/((x^2-1)(x^2+x+1))

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

f(x)=(8x-sqrt(3))/(2x+sqrt(3))

f (x) = \frac{8 x - 3}{2 x + 3}

Frequently Asked Questions (FAQ)

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