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Popular >

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

Solution

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

Solution

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

Range : - \infty < f (x) < \infty

X Intercepts : (3, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{3}{2}, Slant y = \frac{1}{2} x - \frac{3}{4}

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} - 3 x}{2 x - 3} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{2} - 3 x}{2 x - 3} :

X Intercepts

: (3, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{2} - 3 x}{2 x - 3} :

Vertical

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

Slant

: y = \frac{1}{2} x - \frac{3}{4}

Extreme Points of

\frac{x ^{2} - 3 x}{2 x - 3} :

None

Popular Examples

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

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

y = 2 x^{2} + 3 x - 4

y = 2 x^{2} + 3 x - 7

f (x) = 240 x - 2 x^{2}

f(x)=log_{10}(6x-8)-2log_{10}(x)

f (x) = lo g_{10} (6 x - 8) - 2 lo g_{10} (x)

Frequently Asked Questions (FAQ)

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