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Popular >

f(x)=(x+5)/(x^2-10x+25)

Solution

f (x) = \frac{x + 5}{x ^{2} - 10 x + 25}

Solution

Domain : x < 5 or x > 5

Range : f (x) \geq - \frac{1}{40}

X Intercepts : (- 5, 0), Y Intercepts : (0, \frac{1}{5})

Asymptotes : Vertical x = 5, Horizontal y = 0

Extreme Points : Minimum (- 15, - \frac{1}{40})

+1

Interval Notation

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

Range : [- \frac{1}{40}, \infty)

Solution steps

Domain of

\frac{x + 5}{x ^{2} - 10 x + 25} : x < 5 or x > 5

Range of

\frac{x + 5}{x ^{2} - 10 x + 25} : f (x) \geq - \frac{1}{40}

Axis interception points of

\frac{x + 5}{x ^{2} - 10 x + 25} :

X Intercepts

: (- 5, 0),

Y Intercepts

: (0, \frac{1}{5})

Asymptotes of

\frac{x + 5}{x ^{2} - 10 x + 25} :

Vertical

: x = 5,

Horizontal

: y = 0

Extreme Points of

\frac{x + 5}{x ^{2} - 10 x + 25} :

Minimum

(- 15, - \frac{1}{40})

Popular Examples

frequency sec(x)frequency

sec (x)

slope of-9 slope

- 9

intercepts of x^3-17x^2+48x-32 intercepts

x^{3} - 17 x^{2} + 48 x - 32

shift 2/3 cos(2(θ/3-pi))+1/2 shift

\frac{2}{3} cos (2 (\frac{θ}{3} - π)) + \frac{1}{2}

distance (-1, 19/2),(-9,11)distance

(- 1, \frac{19}{2}), (- 9, 11)

Frequently Asked Questions (FAQ)

What is the f(x)=(x+5)/(x^2-10x+25) ?
The f(x)=(x+5)/(x^2-10x+25) is