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Popular >

r(x)=(2x^2-5x+3)/(4-2x)

Solution

r (x) = \frac{2 x ^{2} - 5 x + 3}{4 - 2 x}

Solution

Domain : x < 2 or x > 2

Range : f (x) \leq - 2 - \frac{3}{2} or f (x) \geq 2 - \frac{3}{2}

X Intercepts : (\frac{3}{2}, 0), (1, 0), Y Intercepts : (0, \frac{3}{4})

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

Extreme Points : Minimum (\frac{4 - 2}{2}, \frac{4 - 3 2}{2 2}), Maximum (\frac{4 + 2}{2}, - \frac{4 + 3 2}{2 2})

+1

Solution steps

Domain of

\frac{2 x ^{2} - 5 x + 3}{4 - 2 x} : x < 2 or x > 2

Range of

\frac{2 x ^{2} - 5 x + 3}{4 - 2 x} : f (x) \leq - 2 - \frac{3}{2} or f (x) \geq 2 - \frac{3}{2}

Axis interception points of

\frac{2 x ^{2} - 5 x + 3}{4 - 2 x} :

X Intercepts

: (\frac{3}{2}, 0), (1, 0),

Y Intercepts

: (0, \frac{3}{4})

Asymptotes of

\frac{2 x ^{2} - 5 x + 3}{4 - 2 x} :

Vertical

: x = 2,

Slant

: y = - x + \frac{1}{2}

Extreme Points of

\frac{2 x ^{2} - 5 x + 3}{4 - 2 x} :

Minimum

(\frac{4 - 2}{2}, \frac{4 - 3 2}{2 2}),

Maximum

(\frac{4 + 2}{2}, - \frac{4 + 3 2}{2 2})

Popular Examples

f(x)=(x^4)/(x+2)

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

y = 2 x (1 - ln (e))

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

f(x)=sqrt(x-2)+10

f (x) = x - 2 + 10

f(x)=-sqrt(16-(x+3)^2)-5

f (x) = - 16 - (x + 3)^{2} - 5

Frequently Asked Questions (FAQ)

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