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Popular >

f(x)=(x+5)/(3x-14)

Solution

f (x) = \frac{x + 5}{3 x - 14}

Solution

Domain : x < \frac{14}{3} or x > \frac{14}{3}

Range : f (x) < \frac{1}{3} or f (x) > \frac{1}{3}

X Intercepts : (- 5, 0), Y Intercepts : (0, - \frac{5}{14})

Asymptotes : Vertical x = \frac{14}{3}, Horizontal y = \frac{1}{3}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \frac{14}{3}) \cup (\frac{14}{3}, \infty)

Range : (- \infty, \frac{1}{3}) \cup (\frac{1}{3}, \infty)

Solution steps

Domain of

\frac{x + 5}{3 x - 14} : x < \frac{14}{3} or x > \frac{14}{3}

Range of

\frac{x + 5}{3 x - 14} : f (x) < \frac{1}{3} or f (x) > \frac{1}{3}

Axis interception points of

\frac{x + 5}{3 x - 14} :

X Intercepts

: (- 5, 0),

Y Intercepts

: (0, - \frac{5}{14})

Asymptotes of

\frac{x + 5}{3 x - 14} :

Vertical

: x = \frac{14}{3},

Horizontal

: y = \frac{1}{3}

Extreme Points of

\frac{x + 5}{3 x - 14} :

None

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Frequently Asked Questions (FAQ)

What is the f(x)=(x+5)/(3x-14) ?
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