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Popular >

f(x)=(5x+25)/(3x^2+16x+5)

Solution

f (x) = \frac{5 x + 25}{3 x ^{2} + 16 x + 5}

Solution

Domain : x < - 5 or - 5 < x < - \frac{1}{3} or x > - \frac{1}{3}

Range : f (x) < - \frac{5}{14} or - \frac{5}{14} < f (x) < 0 or f (x) > 0

Y Intercepts : (0, 5)

Asymptotes : Vertical x = - \frac{1}{3}, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 5) \cup (- 5, - \frac{1}{3}) \cup (- \frac{1}{3}, \infty)

Range : (- \infty, - \frac{5}{14}) \cup (- \frac{5}{14}, 0) \cup (0, \infty)

Solution steps

Domain of

\frac{5 x + 25}{3 x ^{2} + 16 x + 5} : x < - 5 or - 5 < x < - \frac{1}{3} or x > - \frac{1}{3}

Range of

\frac{5 x + 25}{3 x ^{2} + 16 x + 5} : f (x) < - \frac{5}{14} or - \frac{5}{14} < f (x) < 0 or f (x) > 0

Axis interception points of

\frac{5 x + 25}{3 x ^{2} + 16 x + 5} :

Y Intercepts

: (0, 5)

Asymptotes of

\frac{5 x + 25}{3 x ^{2} + 16 x + 5} :

Vertical

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

Horizontal

: y = 0

Extreme Points of

\frac{5 x + 25}{3 x ^{2} + 16 x + 5} :

None

Popular Examples

y = 3 (x - 4)^{2} - 1

f (t) = t^{n}

y=(2x-6)/(x^2-9)

y = \frac{2 x - 6}{x ^{2} - 9}

y = x^{2} - x - 4

y=sqrt(x^2+x)-x

y = x^{2} + x - x

Frequently Asked Questions (FAQ)

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