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Popular >

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

Solution

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

Solution

Domain : x < - 1 or - 1 < x < 1 or x > 1

Range : f (x) < 2 or f (x) \geq 3

X Intercepts : (\frac{3}{2}, 0), (- \frac{3}{2}, 0), Y Intercepts : (0, 3)

Asymptotes : Vertical x = - 1, x = 1, Horizontal y = 2

Extreme Points : Minimum (0, 3)

+1

Interval Notation

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

Range : (- \infty, 2) \cup [3, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{3}{2}, 0), (- \frac{3}{2}, 0),

Y Intercepts

: (0, 3)

Asymptotes of

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

Vertical

: x = - 1, x = 1,

Horizontal

: y = 2

Extreme Points of

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

Minimum

(0, 3)

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f (x) = lo g_{9} (x - 6)

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y = (3 x - x^{2}) (x - 14)

f(x)=x^5-80x+128

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f(x)=(x^2+4)/(x+2)

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

f (x) = \frac{2 x + 3}{x}

Frequently Asked Questions (FAQ)

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