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Popular >

f(x)=(2x+3)/(3x-4)

Solution

f (x) = \frac{2 x + 3}{3 x - 4}

Solution

Domain : x < \frac{4}{3} or x > \frac{4}{3}

Range : f (x) < \frac{2}{3} or f (x) > \frac{2}{3}

X Intercepts : (- \frac{3}{2}, 0), Y Intercepts : (0, - \frac{3}{4})

Asymptotes : Vertical x = \frac{4}{3}, Horizontal y = \frac{2}{3}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \frac{4}{3}) \cup (\frac{4}{3}, \infty)

Range : (- \infty, \frac{2}{3}) \cup (\frac{2}{3}, \infty)

Solution steps

Domain of

\frac{2 x + 3}{3 x - 4} : x < \frac{4}{3} or x > \frac{4}{3}

Range of

\frac{2 x + 3}{3 x - 4} : f (x) < \frac{2}{3} or f (x) > \frac{2}{3}

Axis interception points of

\frac{2 x + 3}{3 x - 4} :

X Intercepts

: (- \frac{3}{2}, 0),

Y Intercepts

: (0, - \frac{3}{4})

Asymptotes of

\frac{2 x + 3}{3 x - 4} :

Vertical

: x = \frac{4}{3},

Horizontal

: y = \frac{2}{3}

Extreme Points of

\frac{2 x + 3}{3 x - 4} :

None

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Frequently Asked Questions (FAQ)

What is the f(x)=(2x+3)/(3x-4) ?
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