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Popular Functions >

F(x)=(2x^2+3x)/(x-1)

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) \leq - 210 + 7 or f (x) \geq 210 + 7

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

Asymptotes : Vertical x = 1, Slant y = 2 x + 5

Extreme Points : Maximum (\frac{2 - 10}{2}, \frac{7 10 - 20}{10}), Minimum (\frac{2 + 10}{2}, \frac{20 + 7 10}{10})

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, \infty)

Range : (- \infty, - 210 + 7] \cup [210 + 7, \infty)

Solution steps

Domain of

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

Range of

\frac{2 x ^{2} + 3 x}{x - 1} : f (x) \leq - 210 + 7 or f (x) \geq 210 + 7

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = 1,

Slant

: y = 2 x + 5

Extreme Points of

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

Maximum

(\frac{2 - 10}{2}, \frac{7 10 - 20}{10}),

Minimum

(\frac{2 + 10}{2}, \frac{20 + 7 10}{10})

Graph

Popular Examples

f(m)=4m^2+12m-15

f(t)=e^{-2t}-e^{-3t}

Frequently Asked Questions (FAQ)

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