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Popular >

f(x)=(3x-5)/(2x+1)

Solution

f (x) = \frac{3 x - 5}{2 x + 1}

Solution

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

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

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

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

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

\frac{3 x - 5}{2 x + 1} : x < - \frac{1}{2} or x > - \frac{1}{2}

Range of

\frac{3 x - 5}{2 x + 1} : f (x) < \frac{3}{2} or f (x) > \frac{3}{2}

Axis interception points of

\frac{3 x - 5}{2 x + 1} :

X Intercepts

: (\frac{5}{3}, 0),

Y Intercepts

: (0, - 5)

Asymptotes of

\frac{3 x - 5}{2 x + 1} :

Vertical

: x = - \frac{1}{2},

Horizontal

: y = \frac{3}{2}

Extreme Points of

\frac{3 x - 5}{2 x + 1} :

None

Popular Examples

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

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

y=x^3-6x^2+12x-8

y = x^{3} - 6 x^{2} + 12 x - 8

y = x^{2} - 6 x + 15

f(x)=(4x^2)/(x^2-1)

f (x) = \frac{4 x ^{2}}{x ^{2} - 1}

f(x)=arctan(sqrt((1-x)/(1+x)))

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

Frequently Asked Questions (FAQ)

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