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Popular >

f(x)=(5x-15)/(x^2-8x+15)

Solution

f (x) = \frac{5 x - 15}{x ^{2} - 8 x + 15}

Solution

Domain : x < 3 or 3 < x < 5 or x > 5

Range : f (x) < - \frac{5}{2} or - \frac{5}{2} < f (x) < 0 or f (x) > 0

Y Intercepts : (0, - 1)

Asymptotes : Vertical x = 5, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 3) \cup (3, 5) \cup (5, \infty)

Range : (- \infty, - \frac{5}{2}) \cup (- \frac{5}{2}, 0) \cup (0, \infty)

Solution steps

Domain of

\frac{5 x - 15}{x ^{2} - 8 x + 15} : x < 3 or 3 < x < 5 or x > 5

Range of

\frac{5 x - 15}{x ^{2} - 8 x + 15} : f (x) < - \frac{5}{2} or - \frac{5}{2} < f (x) < 0 or f (x) > 0

Axis interception points of

\frac{5 x - 15}{x ^{2} - 8 x + 15} :

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{5 x - 15}{x ^{2} - 8 x + 15} :

Vertical

: x = 5,

Horizontal

: y = 0

Extreme Points of

\frac{5 x - 15}{x ^{2} - 8 x + 15} :

None

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the f(x)=(5x-15)/(x^2-8x+15) ?
The f(x)=(5x-15)/(x^2-8x+15) is