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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

Range : f (x) \geq \frac{11}{9}

Y Intercepts : (0, 4)

Asymptotes : Vertical x = 1, Horizontal y = 3

Extreme Points : Minimum (- \frac{5}{4}, \frac{11}{9})

+1

Interval Notation

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

Range : [\frac{11}{9}, \infty)

Solution steps

Domain of

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

Range of

\frac{3 x ^{2} + 2 x + 4}{x ^{2} - 2 x + 1} : f (x) \geq \frac{11}{9}

Axis interception points of

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

Y Intercepts

: (0, 4)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = 3

Extreme Points of

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

Minimum

(- \frac{5}{4}, \frac{11}{9})

Popular Examples

f (x) = 4 x^{2} - 5 x + 1

g(x)=2x^2-6x-56

g (x) = 2 x^{2} - 6 x - 56

f (x) = 3 x^{4} + 2 x^{3}

f(x)= 3/4 x^4-8x^2

f (x) = \frac{3}{4} x^{4} - 8 x^{2}

f(x)=sqrt(x+1)+sqrt(x)

f (x) = x + 1 + x

Frequently Asked Questions (FAQ)

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