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Popular >

f(x)=(x^2+1)/(x+3)

Solution

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

Solution

Domain : x < - 3 or x > - 3

Range : f (x) \leq - 210 - 6 or f (x) \geq 210 - 6

Y Intercepts : (0, \frac{1}{3})

Asymptotes : Vertical x = - 3, Slant y = x - 3

Extreme Points : Maximum (- 3 - 10, - \frac{10 2 + 6 5}{5}), Minimum (- 3 + 10, \frac{10 2 - 6 5}{5})

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, \infty)

Range : (- \infty, - 210 - 6] \cup [210 - 6, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + 1}{x + 3} : f (x) \leq - 210 - 6 or f (x) \geq 210 - 6

Axis interception points of

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

Y Intercepts

: (0, \frac{1}{3})

Asymptotes of

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

Vertical

: x = - 3,

Slant

: y = x - 3

Extreme Points of

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

Maximum

(- 3 - 10, - \frac{10 2 + 6 5}{5}),

Minimum

(- 3 + 10, \frac{10 2 - 6 5}{5})

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Frequently Asked Questions (FAQ)

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