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Popular >

f(x)=(2x^2-5x+5)/(x-2)

Solution

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

Solution

Domain : x < 2 or x > 2

Range : f (x) \leq - 26 + 3 or f (x) \geq 26 + 3

Y Intercepts : (0, - \frac{5}{2})

Asymptotes : Vertical x = 2, Slant y = 2 x - 1

Extreme Points : Maximum (\frac{4 - 6}{2}, - \frac{4 3 - 3 2}{2}), Minimum (\frac{4 + 6}{2}, \frac{4 3 + 3 2}{2})

+1

Interval Notation

Domain : (- \infty, 2) \cup (2, \infty)

Range : (- \infty, - 26 + 3] \cup [26 + 3, \infty)

Solution steps

Domain of

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

Range of

\frac{2 x ^{2} - 5 x + 5}{x - 2} : f (x) \leq - 26 + 3 or f (x) \geq 26 + 3

Axis interception points of

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

Y Intercepts

: (0, - \frac{5}{2})

Asymptotes of

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

Vertical

: x = 2,

Slant

: y = 2 x - 1

Extreme Points of

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

Maximum

(\frac{4 - 6}{2}, - \frac{4 3 - 3 2}{2}),

Minimum

(\frac{4 + 6}{2}, \frac{4 3 + 3 2}{2})

Popular Examples

y= 1/(sqrt(sin(x)))

y = \frac{1}{sin ( x )}

f(x)=5cos^2(x)-2sin^2(x)+3

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

f (x) = - x^{2} - 9 x - 7

y = - \frac{5}{2} x - 7

y = - \frac{5}{2} x + 5

Frequently Asked Questions (FAQ)

What is the f(x)=(2x^2-5x+5)/(x-2) ?
The f(x)=(2x^2-5x+5)/(x-2) is