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Popular >

f(x)=(x^2+5x)/(-2x^2+7x)

Solution

f (x) = \frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x}

Solution

Domain : x < 0 or 0 < x < \frac{7}{2} or x > \frac{7}{2}

Range : f (x) < - \frac{1}{2} or - \frac{1}{2} < f (x) < \frac{5}{7} or f (x) > \frac{5}{7}

X Intercepts : (- 5, 0)

Asymptotes : Vertical x = \frac{7}{2}, Horizontal y = - \frac{1}{2}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \frac{7}{2}) \cup (\frac{7}{2}, \infty)

Range : (- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \frac{5}{7}) \cup (\frac{5}{7}, \infty)

Solution steps

Domain of

\frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x} : x < 0 or 0 < x < \frac{7}{2} or x > \frac{7}{2}

Range of

\frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x} : f (x) < - \frac{1}{2} or - \frac{1}{2} < f (x) < \frac{5}{7} or f (x) > \frac{5}{7}

Axis interception points of

\frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x} :

X Intercepts

: (- 5, 0)

Asymptotes of

\frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x} :

Vertical

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

Horizontal

: y = - \frac{1}{2}

Extreme Points of

\frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x} :

None

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+5x)/(-2x^2+7x) ?
The f(x)=(x^2+5x)/(-2x^2+7x) is