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Popular Functions >

y=(3x+2)/(2x-5)

Solution

y = \frac{3 x + 2}{2 x - 5}

Solution

Domain : x < \frac{5}{2} or x > \frac{5}{2}

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

X Intercepts : (- \frac{2}{3}, 0), Y Intercepts : (0, - \frac{2}{5})

Asymptotes : Vertical x = \frac{5}{2}, Horizontal y = \frac{3}{2}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

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

Solution steps

Domain of

\frac{3 x + 2}{2 x - 5} : x < \frac{5}{2} or x > \frac{5}{2}

Range of

\frac{3 x + 2}{2 x - 5} : f (x) < \frac{3}{2} or f (x) > \frac{3}{2}

Axis interception points of

\frac{3 x + 2}{2 x - 5} :

X Intercepts

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

Y Intercepts

: (0, - \frac{2}{5})

Asymptotes of

\frac{3 x + 2}{2 x - 5} :

Vertical

: x = \frac{5}{2},

Horizontal

: y = \frac{3}{2}

Extreme Points of

\frac{3 x + 2}{2 x - 5} :

None

Graph

Popular Examples

f(x)=(x^3-x^2-2x)/(x^2-x)

f(x)=(sqrt(x^4-5x^2+4))/(sqrt(x^2-5x+4))

f(x)=0.2x^2-20x+900

Frequently Asked Questions (FAQ)

What is the y=(3x+2)/(2x-5) ?
The y=(3x+2)/(2x-5) is