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Popular >

y=(sqrt(x-1))/(x^2-3)

Solution

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

Solution

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

Range : - \infty < f (x) < \infty

X Intercepts : (1, 0)

Asymptotes : Vertical x = 3, Horizontal y = 0

Extreme Points : Maximum (1, 0)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x - 1}{x ^{2} - 3} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (1, 0)

Asymptotes of

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

Vertical

: x = 3,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(1, 0)

Popular Examples

f(x)=(2x+2)/(x-1)

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

f(x)=3sqrt(5)+2e^{-2x+3}

f (x) = 35 + 2 e^{- 2 x + 3}

f(x)=\sqrt[3]{3}x\sqrt[4]{7}

f(x)=(2x-1)(-x^3-5x+4)

f (x) = (2 x - 1) (- x^{3} - 5 x + 4)

y = \frac{2 x}{3 x + 1}

Frequently Asked Questions (FAQ)

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