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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 25 - 3 or f (x) \geq 25 - 3

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = x - 3

Extreme Points : Maximum (- 5, - 25 - 3), Minimum (5, 25 - 3)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, - 25 - 3] \cup [25 - 3, \infty)

Solution steps

Domain of

\frac{x ^{2} - 3 x + 5}{x} : x < 0 or x > 0

Range of

\frac{x ^{2} - 3 x + 5}{x} : f (x) \leq - 25 - 3 or f (x) \geq 25 - 3

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = x - 3

Extreme Points of

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

Maximum

(- 5, - 25 - 3),

Minimum

(5, 25 - 3)

Popular Examples

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f(x)=2cos(4x)-1

f (x) = 2 cos (4 x) - 1

y = - 3 x + 10

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

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

f (3) = - 3 x - 2

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-3x+5)/x ?
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