What is the f(x)=(-3x^2+3x)/(5x^2-30x+25) ?

The f(x)=(-3x^2+3x)/(5x^2-30x+25) is

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f(x)=(-3x^2+3x)/(5x^2-30x+25)

f (x) = \frac{- 3 x ^{2} + 3 x}{5 x ^{2} - 30 x + 25}

Domain : x < 1 or 1 < x < 5 or x > 5

Range : f (x) < - \frac{3}{5} or - \frac{3}{5} < f (x) < \frac{3}{20} or f (x) > \frac{3}{20}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 5, Horizontal y = - \frac{3}{5}

Extreme Points : None

Interval Notation

Domain : (- \infty, 1) \cup (1, 5) \cup (5, \infty)

Range : (- \infty, - \frac{3}{5}) \cup (- \frac{3}{5}, \frac{3}{20}) \cup (\frac{3}{20}, \infty)

Solution steps

Domain of

\frac{- 3 x ^{2} + 3 x}{5 x ^{2} - 30 x + 25} : x < 1 or 1 < x < 5 or x > 5

Range of

\frac{- 3 x ^{2} + 3 x}{5 x ^{2} - 30 x + 25} : f (x) < - \frac{3}{5} or - \frac{3}{5} < f (x) < \frac{3}{20} or f (x) > \frac{3}{20}

Axis interception points of

\frac{- 3 x ^{2} + 3 x}{5 x ^{2} - 30 x + 25} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{- 3 x ^{2} + 3 x}{5 x ^{2} - 30 x + 25} :

Vertical

: x = 5,

Horizontal

: y = - \frac{3}{5}

Extreme Points of

\frac{- 3 x ^{2} + 3 x}{5 x ^{2} - 30 x + 25} :

None

f (x) = x^{2} - 4 x - 16

P (t) = 2 t^{3} - 24 t^{2} + 1200

f (x) = x^{3} - 25

f (x) = \frac{1}{1 + x}

f (x) = - 1.3 \cdot x^{2} + 18.2 \cdot x + 1.1

What is the f(x)=(-3x^2+3x)/(5x^2-30x+25) ?
The f(x)=(-3x^2+3x)/(5x^2-30x+25) is