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Popular >

f(x)=(3x^4)/((1+2x)^2)

Solution

f (x) = \frac{3 x ^{4}}{( 1 + 2 x ) ^{2}}

Solution

Domain : x < - \frac{1}{2} or x > - \frac{1}{2}

Range : f (x) \geq 0

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

Asymptotes : Vertical x = - \frac{1}{2}

Extreme Points : Minimum (- 1, 3), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Range : [0, \infty)

Solution steps

Domain of

\frac{3 x ^{4}}{( 1 + 2 x ) ^{2}} : x < - \frac{1}{2} or x > - \frac{1}{2}

Range of

\frac{3 x ^{4}}{( 1 + 2 x ) ^{2}} : f (x) \geq 0

Axis interception points of

\frac{3 x ^{4}}{( 1 + 2 x ) ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{3 x ^{4}}{( 1 + 2 x ) ^{2}} :

Vertical

: x = - \frac{1}{2}

Extreme Points of

\frac{3 x ^{4}}{( 1 + 2 x ) ^{2}} :

Minimum

(- 1, 3),

Minimum

(0, 0)

Popular Examples

y = 9^{2 x}

f (x) = x^{2} - 9 x + 22

f (z) = z^{2} - z - 1

f(x)=(-x+1)/(3x+6)

f (x) = \frac{- x + 1}{3 x + 6}

f(x)=log_{2}(x+4)+8

f (x) = lo g_{2} (x + 4) + 8

Frequently Asked Questions (FAQ)

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