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Popular >

y=(sqrt(x^2+x+5))/(x+6)

Solution

y = \frac{x ^{2} + x + 5}{x + 6}

Solution

Domain : x < - 6 or x > - 6

Range : f (x) < - 1 or f (x) \geq \frac{19}{2 35}

Y Intercepts : (0, \frac{5}{6})

Asymptotes : Vertical x = - 6, Horizontal y = 1, y = - 1

Extreme Points : Minimum (\frac{4}{11}, \frac{19}{2 35})

+1

Interval Notation

Domain : (- \infty, - 6) \cup (- 6, \infty)

Range : (- \infty, - 1) \cup [\frac{19}{2 35}, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + x + 5}{x + 6} : f (x) < - 1 or f (x) \geq \frac{19}{2 35}

Axis interception points of

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

Y Intercepts

: (0, \frac{5}{6})

Asymptotes of

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

Vertical

: x = - 6,

Horizontal

: y = 1, y = - 1

Extreme Points of

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

Minimum

(\frac{4}{11}, \frac{19}{2 35})

Popular Examples

C(x)=40+(ln(2))x^2

C (x) = 40 + (ln (2)) x^{2}

f(x)=ln(sqrt(tan(x)))

f (x) = ln (tan (x))

f (y) = y^{4} + 1

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

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

f (φ) = cos (φ)

Frequently Asked Questions (FAQ)

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