What is the f(x)= x/(sqrt(x+3))-5/(sqrt(5-x)) ?

The f(x)= x/(sqrt(x+3))-5/(sqrt(5-x)) is

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f(x)= x/(sqrt(x+3))-5/(sqrt(5-x))

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

Domain : - 3 < x < 5

Range : f (x) \leq \frac{3.86305 E 14}{2.84076 E 29} - \frac{5 2.5 E 14}{8.63695 E 14}

Y Intercepts : (0, - 5)

Asymptotes : Vertical x = - 3, x = 5

Extreme Points : Maximum (\frac{3.86305 E 14}{2.5 E 14}, \frac{3.86305 E 14}{2.84076 E 29} - \frac{5 2.5 E 14}{8.63695 E 14})

Interval Notation

Domain : (- 3, 5)

Range : (- \infty, \frac{3.86305 E 14}{2.84076 E 29} - \frac{5 2.5 E 14}{8.63695 E 14}]

Solution steps

Domain of

\frac{x}{x + 3} - \frac{5}{5 - x} : - 3 < x < 5

Range of

\frac{x}{x + 3} - \frac{5}{5 - x} : f (x) \leq \frac{3.86305 E 14}{2.84076 E 29} - \frac{5 2.5 E 14}{8.63695 E 14}

Axis interception points of

\frac{x}{x + 3} - \frac{5}{5 - x} :

Y Intercepts

: (0, - 5)

Asymptotes of

\frac{x}{x + 3} - \frac{5}{5 - x} :

Vertical

: x = - 3, x = 5

Extreme Points of

\frac{x}{x + 3} - \frac{5}{5 - x} :

Maximum

(\frac{3.86305 E 14}{2.5 E 14}, \frac{3.86305 E 14}{2.84076 E 29} - \frac{5 2.5 E 14}{8.63695 E 14})

f (x) = x^{4} - 3 x + 5

y = \frac{e ^{x}}{1 - e ^{x}}

f (t) = 5 e - 5 t + 2 t^{2} - 4

f (x) = x^{4} + 8 x^{3} + 200

y = \frac{2}{3} x^{\frac{3}{2}}, 0 \leq x \leq 6

What is the f(x)= x/(sqrt(x+3))-5/(sqrt(5-x)) ?
The f(x)= x/(sqrt(x+3))-5/(sqrt(5-x)) is