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Popular >

f(x)=2x-3sqrt(12x^2-16x-1)

Solution

f (x) = 2 x - 3 12 x^{2} - 16 x - 1

Solution

Domain : x \leq - \frac{19}{6} + \frac{2}{3} or x \geq \frac{19}{6} + \frac{2}{3}

X Intercepts : (\frac{3 ( 12 + 170 )}{52}, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{4 - 19}{6}, \frac{4 - 19}{3}), Maximum (\frac{4 + 19}{6}, \frac{4 + 19}{3})

+1

Interval Notation

Domain : (- \infty, - \frac{19}{6} + \frac{2}{3}] \cup [\frac{19}{6} + \frac{2}{3}, \infty)

Solution steps

Domain of

2 x - 3 12 x^{2} - 16 x - 1 : x \leq - \frac{19}{6} + \frac{2}{3} or x \geq \frac{19}{6} + \frac{2}{3}

Axis interception points of

2 x - 3 12 x^{2} - 16 x - 1 :

X Intercepts

: (\frac{3 ( 12 + 170 )}{52}, 0)

Asymptotes of

2 x - 3 12 x^{2} - 16 x - 1 :

None

Extreme Points of

2 x - 3 12 x^{2} - 16 x - 1 :

Maximum

(\frac{4 - 19}{6}, \frac{4 - 19}{3}),

Maximum

(\frac{4 + 19}{6}, \frac{4 + 19}{3})

Graph

Popular Examples

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f(x)=(1+ln(x))/(x^2)

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

y = - 3 x^{- 4}

Frequently Asked Questions (FAQ)

What is the f(x)=2x-3sqrt(12x^2-16x-1) ?
The f(x)=2x-3sqrt(12x^2-16x-1) is