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Popular >

f(x)=(3x^2+15x)/(5x^2)

Solution

f (x) = \frac{3 x ^{2} + 15 x}{5 x ^{2}}

Solution

Domain : x < 0 or x > 0

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

X Intercepts : (- 5, 0)

Asymptotes : Vertical x = 0, Horizontal y = \frac{3}{5}

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

\frac{3 x ^{2} + 15 x}{5 x ^{2}} : x < 0 or x > 0

Range of

\frac{3 x ^{2} + 15 x}{5 x ^{2}} : f (x) < \frac{3}{5} or f (x) > \frac{3}{5}

Axis interception points of

\frac{3 x ^{2} + 15 x}{5 x ^{2}} :

X Intercepts

: (- 5, 0)

Asymptotes of

\frac{3 x ^{2} + 15 x}{5 x ^{2}} :

Vertical

: x = 0,

Horizontal

: y = \frac{3}{5}

Extreme Points of

\frac{3 x ^{2} + 15 x}{5 x ^{2}} :

None

Popular Examples

f(x)=2(x-3)^2+4

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

f (t) = ln (t + 1)

y = arctan (\frac{x}{2})

y = - (x - 1)^{2} + 2

f (a) = 1 + a

Frequently Asked Questions (FAQ)

What is the f(x)=(3x^2+15x)/(5x^2) ?
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