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Popular >

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

Solution

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

Solution

Domain : x < 1 or 1 < x < 4 or x > 4

Range : f (x) < \frac{2}{3} or \frac{2}{3} < f (x) < 1 or f (x) > 1

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

Asymptotes : Vertical x = 4, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, 4) \cup (4, \infty)

Range : (- \infty, \frac{2}{3}) \cup (\frac{2}{3}, 1) \cup (1, \infty)

Solution steps

Domain of

\frac{x ^{2} - 4 x + 3}{x ^{2} - 5 x + 4} : x < 1 or 1 < x < 4 or x > 4

Range of

\frac{x ^{2} - 4 x + 3}{x ^{2} - 5 x + 4} : f (x) < \frac{2}{3} or \frac{2}{3} < f (x) < 1 or f (x) > 1

Axis interception points of

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

X Intercepts

: (3, 0),

Y Intercepts

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

Asymptotes of

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

Vertical

: x = 4,

Horizontal

: y = 1

Extreme Points of

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

None

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f(x)=(5x^3-2x^2)(6x^3)

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y = \frac{x + 3}{x ^{2} - 4}

y = - 2 sin (\frac{x}{5})

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-4x+3)/(x^2-5x+4) ?
The f(x)=(x^2-4x+3)/(x^2-5x+4) is