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Popular >

f(x)=(x-3)/(x^2-11x+30)

Solution

f (x) = \frac{x - 3}{x ^{2} - 11 x + 30}

Solution

Domain : x < 5 or 5 < x < 6 or x > 6

Range : f (x) \leq - 26 - 5 or f (x) \geq 26 - 5

X Intercepts : (3, 0), Y Intercepts : (0, - \frac{1}{10})

Asymptotes : Vertical x = 5, x = 6, Horizontal y = 0

Extreme Points : Minimum (3 - 6, - 5 + 26), Maximum (3 + 6, - 26 - 5)

+1

Interval Notation

Domain : (- \infty, 5) \cup (5, 6) \cup (6, \infty)

Range : (- \infty, - 26 - 5] \cup [26 - 5, \infty)

Solution steps

Domain of

\frac{x - 3}{x ^{2} - 11 x + 30} : x < 5 or 5 < x < 6 or x > 6

Range of

\frac{x - 3}{x ^{2} - 11 x + 30} : f (x) \leq - 26 - 5 or f (x) \geq 26 - 5

Axis interception points of

\frac{x - 3}{x ^{2} - 11 x + 30} :

X Intercepts

: (3, 0),

Y Intercepts

: (0, - \frac{1}{10})

Asymptotes of

\frac{x - 3}{x ^{2} - 11 x + 30} :

Vertical

: x = 5, x = 6,

Horizontal

: y = 0

Extreme Points of

\frac{x - 3}{x ^{2} - 11 x + 30} :

Minimum

(3 - 6, - 5 + 26),

Maximum

(3 + 6, - 26 - 5)

Popular Examples

f(x)=x^3sqrt(1-x^2)

f (x) = x^{3} 1 - x^{2}

h (x) = x^{3} - 1

y = - x + 5

f(x)=-4x^2-12x+16

f (x) = - 4 x^{2} - 12 x + 16

g (x) = x^{2} + 5 x

Frequently Asked Questions (FAQ)

What is the f(x)=(x-3)/(x^2-11x+30) ?
The f(x)=(x-3)/(x^2-11x+30) is