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Popular >

f(x)=(x+7)/(x^2-14x+49)

Solution

f (x) = \frac{x + 7}{x ^{2} - 14 x + 49}

Solution

Domain : x < 7 or x > 7

Range : f (x) \geq - \frac{1}{56}

X Intercepts : (- 7, 0), Y Intercepts : (0, \frac{1}{7})

Asymptotes : Vertical x = 7, Horizontal y = 0

Extreme Points : Minimum (- 21, - \frac{1}{56})

+1

Interval Notation

Domain : (- \infty, 7) \cup (7, \infty)

Range : [- \frac{1}{56}, \infty)

Solution steps

Domain of

\frac{x + 7}{x ^{2} - 14 x + 49} : x < 7 or x > 7

Range of

\frac{x + 7}{x ^{2} - 14 x + 49} : f (x) \geq - \frac{1}{56}

Axis interception points of

\frac{x + 7}{x ^{2} - 14 x + 49} :

X Intercepts

: (- 7, 0),

Y Intercepts

: (0, \frac{1}{7})

Asymptotes of

\frac{x + 7}{x ^{2} - 14 x + 49} :

Vertical

: x = 7,

Horizontal

: y = 0

Extreme Points of

\frac{x + 7}{x ^{2} - 14 x + 49} :

Minimum

(- 21, - \frac{1}{56})

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Frequently Asked Questions (FAQ)

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