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Popular >

f(x)=(-3x^2+3x)/(2x^2-9x+7)

Solution

f (x) = \frac{- 3 x ^{2} + 3 x}{2 x ^{2} - 9 x + 7}

Solution

Domain : x < 1 or 1 < x < \frac{7}{2} or x > \frac{7}{2}

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

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

Asymptotes : Vertical x = \frac{7}{2}, Horizontal y = - \frac{3}{2}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, \frac{7}{2}) \cup (\frac{7}{2}, \infty)

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

Solution steps

Domain of

\frac{- 3 x ^{2} + 3 x}{2 x ^{2} - 9 x + 7} : x < 1 or 1 < x < \frac{7}{2} or x > \frac{7}{2}

Range of

\frac{- 3 x ^{2} + 3 x}{2 x ^{2} - 9 x + 7} : f (x) < - \frac{3}{2} or - \frac{3}{2} < f (x) < \frac{3}{5} or f (x) > \frac{3}{5}

Axis interception points of

\frac{- 3 x ^{2} + 3 x}{2 x ^{2} - 9 x + 7} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{- 3 x ^{2} + 3 x}{2 x ^{2} - 9 x + 7} :

Vertical

: x = \frac{7}{2},

Horizontal

: y = - \frac{3}{2}

Extreme Points of

\frac{- 3 x ^{2} + 3 x}{2 x ^{2} - 9 x + 7} :

None

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Frequently Asked Questions (FAQ)

What is the f(x)=(-3x^2+3x)/(2x^2-9x+7) ?
The f(x)=(-3x^2+3x)/(2x^2-9x+7) is