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Popular >

y=(x+1)/(x^2-4x+3)

Solution

y = \frac{x + 1}{x ^{2} - 4 x + 3}

Solution

Domain : x < 1 or 1 < x < 3 or x > 3

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

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

Asymptotes : Vertical x = 1, x = 3, Horizontal y = 0

Extreme Points : Minimum (- 1 - 22, - \frac{3 - 2 2}{2}), Maximum (22 - 1, - \frac{2 2 + 3}{2})

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, 3) \cup (3, \infty)

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

Solution steps

Domain of

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

Range of

\frac{x + 1}{x ^{2} - 4 x + 3} : f (x) \leq - 2 - \frac{3}{2} or f (x) \geq 2 - \frac{3}{2}

Axis interception points of

\frac{x + 1}{x ^{2} - 4 x + 3} :

X Intercepts

: (- 1, 0),

Y Intercepts

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

Asymptotes of

\frac{x + 1}{x ^{2} - 4 x + 3} :

Vertical

: x = 1, x = 3,

Horizontal

: y = 0

Extreme Points of

\frac{x + 1}{x ^{2} - 4 x + 3} :

Minimum

(- 1 - 22, - \frac{3 - 2 2}{2}),

Maximum

(22 - 1, - \frac{2 2 + 3}{2})

Popular Examples

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f(x)=5x^2-70x+258

f (x) = 5 x^{2} - 70 x + 258

y = x^{2} - 16 x + 17

f(n)=3*log_{3}(n)

f (n) = 3 \cdot lo g_{3} (n)

f(x)=x^3-10x^2+25x

f (x) = x^{3} - 10 x^{2} + 25 x

Frequently Asked Questions (FAQ)

What is the y=(x+1)/(x^2-4x+3) ?
The y=(x+1)/(x^2-4x+3) is