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Popular >

f(x)=((x^2-4x+5))/((x-2))

Solution

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

Solution

Domain : x < 2 or x > 2

Range : f (x) \leq - 2 or f (x) \geq 2

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

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

Extreme Points : Maximum (1, - 2), Minimum (3, 2)

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

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

Asymptotes of

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

Vertical

: x = 2,

Slant

: y = x - 2

Extreme Points of

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

Maximum

(1, - 2),

Minimum

(3, 2)

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Frequently Asked Questions (FAQ)

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