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Popular >

f(x)=(5x^2+25x+20)/(7x)

Solution

f (x) = \frac{5 x ^{2} + 25 x + 20}{7 x}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq \frac{5}{7} or f (x) \geq \frac{45}{7}

X Intercepts : (- 1, 0), (- 4, 0)

Asymptotes : Vertical x = 0, Slant y = \frac{5}{7} x + \frac{25}{7}

Extreme Points : Maximum (- 2, \frac{5}{7}), Minimum (2, \frac{45}{7})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, \frac{5}{7}] \cup [\frac{45}{7}, \infty)

Solution steps

Domain of

\frac{5 x ^{2} + 25 x + 20}{7 x} : x < 0 or x > 0

Range of

\frac{5 x ^{2} + 25 x + 20}{7 x} : f (x) \leq \frac{5}{7} or f (x) \geq \frac{45}{7}

Axis interception points of

\frac{5 x ^{2} + 25 x + 20}{7 x} :

X Intercepts

: (- 1, 0), (- 4, 0)

Asymptotes of

\frac{5 x ^{2} + 25 x + 20}{7 x} :

Vertical

: x = 0,

Slant

: y = \frac{5}{7} x + \frac{25}{7}

Extreme Points of

\frac{5 x ^{2} + 25 x + 20}{7 x} :

Maximum

(- 2, \frac{5}{7}),

Minimum

(2, \frac{45}{7})

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Frequently Asked Questions (FAQ)

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