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

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

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

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

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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