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Popular >

f(x)=log_{3}(4x^2+2x)

Solution

f (x) = lo g_{3} (4 x^{2} + 2 x)

Solution

Domain : x < - \frac{1}{2} or x > 0

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

X Intercepts : (\frac{- 1 + 5}{4}, 0), (- \frac{1 + 5}{4}, 0)

Asymptotes : Vertical x = - \frac{1}{2}, x = 0

Extreme Points : None

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Interval Notation

Domain : (- \infty, - \frac{1}{2}) \cup (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

lo g_{3} (4 x^{2} + 2 x) : x < - \frac{1}{2} or x > 0

Range of

lo g_{3} (4 x^{2} + 2 x) : - \infty < f (x) < \infty

Axis interception points of

lo g_{3} (4 x^{2} + 2 x) :

X Intercepts

: (\frac{- 1 + 5}{4}, 0), (- \frac{1 + 5}{4}, 0)

Asymptotes of

lo g_{3} (4 x^{2} + 2 x) :

Vertical

: x = - \frac{1}{2}, x = 0

Extreme Points of

lo g_{3} (4 x^{2} + 2 x) :

None

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(\frac{1}{4}) y^{^{''}} + y^{^{'}} + y = x^{2} - 2 x

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\frac{d x}{1 - x ^{2}} = \frac{d y}{1 - y ^{2}}

integral of (7x)/((x^2+7)^2)

\int \frac{7 x}{( x ^{2} + 7 ) ^{2}} d x

integral of (x^3+5)^2

\int (x^{3} + 5)^{2} d x

Frequently Asked Questions (FAQ)

What is the f(x)=log_{3}(4x^2+2x) ?
The f(x)=log_{3}(4x^2+2x) is