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Popular >

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

Solution

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

Solution

Domain : x < 1 or x > 1

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

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, 2)

Asymptotes : Vertical x = 1, Slant y = x + 1

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (2, 0), (- 2, 0),

Y Intercepts

: (0, 2)

Asymptotes of

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

Vertical

: x = 1,

Slant

: y = x + 1

Extreme Points of

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

None

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f (X) = \frac{1}{X}

y=(4x-1)/(5x+3)

y = \frac{4 x - 1}{5 x + 3}

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-2)/(x-1) ?
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