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Popular >

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

Solution

f (x) = \frac{x ^{2} - 1}{x ^{2} - 4 x + 3}

Solution

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

Range : f (x) < - 1 or - 1 < f (x) < 1 or f (x) > 1

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

Asymptotes : Vertical x = 3, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

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

Asymptotes of

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

Vertical

: x = 3,

Horizontal

: y = 1

Extreme Points of

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

None

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f (x) = \frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x + 100

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f(0.71)=(x^2)/(1-2x(1-x))

f (0.71) = \frac{x ^{2}}{1 - 2 x ( 1 - x )}

Frequently Asked Questions (FAQ)

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