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Popular >

f(x)=((6x^2+16x+5))/((2x))

Solution

f (x) = \frac{( 6 x ^{2} + 16 x + 5 )}{( 2 x )}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 30 + 8 or f (x) \geq 30 + 8

X Intercepts : (\frac{- 8 + 34}{6}, 0), (- \frac{8 + 34}{6}, 0)

Asymptotes : Vertical x = 0, Slant y = 3 x + 8

Extreme Points : Maximum - \frac{5}{6}, \frac{6 ( 8 \frac{5}{6} - 5 )}{5}, Minimum \frac{5}{6}, \frac{6 ( 8 \frac{5}{6} + 5 )}{5}

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, - 30 + 8] \cup [30 + 8, \infty)

Solution steps

Domain of

\frac{6 x ^{2} + 16 x + 5}{2 x} : x < 0 or x > 0

Range of

\frac{6 x ^{2} + 16 x + 5}{2 x} : f (x) \leq - 30 + 8 or f (x) \geq 30 + 8

Axis interception points of

\frac{6 x ^{2} + 16 x + 5}{2 x} :

X Intercepts

: (\frac{- 8 + 34}{6}, 0), (- \frac{8 + 34}{6}, 0)

Asymptotes of

\frac{6 x ^{2} + 16 x + 5}{2 x} :

Vertical

: x = 0,

Slant

: y = 3 x + 8

Extreme Points of

\frac{6 x ^{2} + 16 x + 5}{2 x} :

Maximum

- \frac{5}{6}, \frac{6 ( 8 \frac{5}{6} - 5 )}{5},

Minimum

\frac{5}{6}, \frac{6 ( 8 \frac{5}{6} + 5 )}{5}

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Frequently Asked Questions (FAQ)

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