What is the f(x)=(4x^2-4x-24)/(3x^2-10x+3) ?

The f(x)=(4x^2-4x-24)/(3x^2-10x+3) is

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f(x)=(4x^2-4x-24)/(3x^2-10x+3)

f (x) = \frac{4 x ^{2} - 4 x - 24}{3 x ^{2} - 10 x + 3}

Domain : x < \frac{1}{3} or \frac{1}{3} < x < 3 or x > 3

Range : f (x) < \frac{4}{3} or \frac{4}{3} < f (x) < \frac{5}{2} or f (x) > \frac{5}{2}

X Intercepts : (- 2, 0), Y Intercepts : (0, - 8)

Asymptotes : Vertical x = \frac{1}{3}, Horizontal y = \frac{4}{3}

Extreme Points : None

Interval Notation

Domain : (- \infty, \frac{1}{3}) \cup (\frac{1}{3}, 3) \cup (3, \infty)

Range : (- \infty, \frac{4}{3}) \cup (\frac{4}{3}, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Solution steps

Domain of

\frac{4 x ^{2} - 4 x - 24}{3 x ^{2} - 10 x + 3} : x < \frac{1}{3} or \frac{1}{3} < x < 3 or x > 3

Range of

\frac{4 x ^{2} - 4 x - 24}{3 x ^{2} - 10 x + 3} : f (x) < \frac{4}{3} or \frac{4}{3} < f (x) < \frac{5}{2} or f (x) > \frac{5}{2}

Axis interception points of

\frac{4 x ^{2} - 4 x - 24}{3 x ^{2} - 10 x + 3} :

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, - 8)

Asymptotes of

\frac{4 x ^{2} - 4 x - 24}{3 x ^{2} - 10 x + 3} :

Vertical

: x = \frac{1}{3},

Horizontal

: y = \frac{4}{3}

Extreme Points of

\frac{4 x ^{2} - 4 x - 24}{3 x ^{2} - 10 x + 3} :

None

y = 4 (x - 3)^{2} + 2

f (x) = 9 x - 16

f (x) = x + ln (x^{2} - 8)

f (x) = \frac{6}{x - 4}

f (x) = 2 x^{2} + 4 x - 9

What is the f(x)=(4x^2-4x-24)/(3x^2-10x+3) ?
The f(x)=(4x^2-4x-24)/(3x^2-10x+3) is