What is the f(s)=(s+3)/(((s+5)(s^2+4s+5))) ?

The f(s)=(s+3)/(((s+5)(s^2+4s+5))) is

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f(s)=(s+3)/(((s+5)(s^2+4s+5)))

f (s) = \frac{s + 3}{( ( s + 5 ) ( s ^{2} + 4 s + 5 ) )}

Domain : s < - 5 or s > - 5

X Intercepts : (- 3, 0), Y Intercepts : (0, \frac{3}{25})

Asymptotes : Vertical s = - 5, Horizontal y = 0

Extreme Points : Maximum (- 1.74007 \dots, 0.36202 \dots)

Interval Notation

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

Solution steps

Domain of

\frac{s + 3}{( s + 5 ) ( s ^{2} + 4 s + 5 )} : s < - 5 or s > - 5

Axis interception points of

\frac{s + 3}{( s + 5 ) ( s ^{2} + 4 s + 5 )} :

X Intercepts

: (- 3, 0),

Y Intercepts

: (0, \frac{3}{25})

Asymptotes of

\frac{s + 3}{( s + 5 ) ( s ^{2} + 4 s + 5 )} :

Vertical

: s = - 5,

Horizontal

: y = 0

Extreme Points of

\frac{s + 3}{( s + 5 ) ( s ^{2} + 4 s + 5 )} :

Maximum

(- 1.74007 \dots, 0.36202 \dots)

f (x) = 4 x + 35

f (n) = 3 n + 8

f (x) = x^{3} - 23 x^{2} + 42 x - 120

f (n) = \frac{5}{n + 3}

y = \frac{lo g _{10} ( 1 )}{3 x}

What is the f(s)=(s+3)/(((s+5)(s^2+4s+5))) ?
The f(s)=(s+3)/(((s+5)(s^2+4s+5))) is