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Popular >

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

Solution

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

Solution

Domain : x < - \frac{1}{3} or x > - \frac{1}{3}

Range : f (x) \leq \frac{- 4 22 - 8}{9} or f (x) \geq \frac{4 22 - 8}{9}

Y Intercepts : (0, 2)

Asymptotes : Vertical x = - \frac{1}{3}, Slant y = \frac{4}{3} x - \frac{4}{9}

Extreme Points : Maximum (- \frac{2 + 22}{6}, - \frac{44 2 + 8 11}{9 11}), Minimum (\frac{- 2 + 22}{6}, \frac{44 2 - 8 11}{9 11})

+1

Solution steps

Domain of

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

Range of

\frac{4 x ^{2} + 2}{3 x + 1} : f (x) \leq \frac{- 4 22 - 8}{9} or f (x) \geq \frac{4 22 - 8}{9}

Axis interception points of

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

Y Intercepts

: (0, 2)

Asymptotes of

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

Vertical

: x = - \frac{1}{3},

Slant

: y = \frac{4}{3} x - \frac{4}{9}

Extreme Points of

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

Maximum

(- \frac{2 + 22}{6}, - \frac{44 2 + 8 11}{9 11}),

Minimum

(\frac{- 2 + 22}{6}, \frac{44 2 - 8 11}{9 11})

Popular Examples

y = \frac{5 x}{3 + 7}

f (x) = 22

f (x) = - 2 x^{2} - 4

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

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

y = 4 x (- 1) + 6

Frequently Asked Questions (FAQ)

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