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Popular >

f(x)=(x-1)/(2x+3)

Solution

f (x) = \frac{x - 1}{2 x + 3}

Solution

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

Range : f (x) < \frac{1}{2} or f (x) > \frac{1}{2}

X Intercepts : (1, 0), Y Intercepts : (0, - \frac{1}{3})

Asymptotes : Vertical x = - \frac{3}{2}, Horizontal y = \frac{1}{2}

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \frac{1}{2}) \cup (\frac{1}{2}, \infty)

Solution steps

Domain of

\frac{x - 1}{2 x + 3} : x < - \frac{3}{2} or x > - \frac{3}{2}

Range of

\frac{x - 1}{2 x + 3} : f (x) < \frac{1}{2} or f (x) > \frac{1}{2}

Axis interception points of

\frac{x - 1}{2 x + 3} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, - \frac{1}{3})

Asymptotes of

\frac{x - 1}{2 x + 3} :

Vertical

: x = - \frac{3}{2},

Horizontal

: y = \frac{1}{2}

Extreme Points of

\frac{x - 1}{2 x + 3} :

None

Popular Examples

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f (x) = 4 x^{2} + 2 x + 6

y = \frac{1}{5} x + 4

Frequently Asked Questions (FAQ)

What is the f(x)=(x-1)/(2x+3) ?
The f(x)=(x-1)/(2x+3) is