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Popular Functions >

f(x)=(x^2+3)/(x+5)

Solution

f (x) = \frac{x ^{2} + 3}{x + 5}

Solution

Domain : x < - 5 or x > - 5

Range : f (x) \leq - 47 - 10 or f (x) \geq 47 - 10

Y Intercepts : (0, \frac{3}{5})

Asymptotes : Vertical x = - 5, Slant y = x - 5

Extreme Points : Maximum (- 5 - 27, - \frac{2 ( 14 + 5 7 )}{7}), Minimum (- 5 + 27, \frac{2 ( 14 - 5 7 )}{7})

+1

Interval Notation

Domain : (- \infty, - 5) \cup (- 5, \infty)

Range : (- \infty, - 47 - 10] \cup [47 - 10, \infty)

Solution steps

Domain of

\frac{x ^{2} + 3}{x + 5} : x < - 5 or x > - 5

Range of

\frac{x ^{2} + 3}{x + 5} : f (x) \leq - 47 - 10 or f (x) \geq 47 - 10

Axis interception points of

\frac{x ^{2} + 3}{x + 5} :

Y Intercepts

: (0, \frac{3}{5})

Asymptotes of

\frac{x ^{2} + 3}{x + 5} :

Vertical

: x = - 5,

Slant

: y = x - 5

Extreme Points of

\frac{x ^{2} + 3}{x + 5} :

Maximum

(- 5 - 27, - \frac{2 ( 14 + 5 7 )}{7}),

Minimum

(- 5 + 27, \frac{2 ( 14 - 5 7 )}{7})

Graph

Popular Examples

domain of y=tanh^2(x+1)(x^3+2x+7)^6

f(x)=arccos(sqrt(-4x^2+6))

f(x)=x^3-3x^2+4x+8

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+3)/(x+5) ?
The f(x)=(x^2+3)/(x+5) is