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Popular >

f(x)=(2x^2-10x+8)/(x^2-1)

Solution

f (x) = \frac{2 x ^{2} - 10 x + 8}{x ^{2} - 1}

Solution

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

Range : f (x) < - 3 or - 3 < f (x) < 2 or f (x) > 2

X Intercepts : (4, 0), Y Intercepts : (0, - 8)

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

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

\frac{2 x ^{2} - 10 x + 8}{x ^{2} - 1} : x < - 1 or - 1 < x < 1 or x > 1

Range of

\frac{2 x ^{2} - 10 x + 8}{x ^{2} - 1} : f (x) < - 3 or - 3 < f (x) < 2 or f (x) > 2

Axis interception points of

\frac{2 x ^{2} - 10 x + 8}{x ^{2} - 1} :

X Intercepts

: (4, 0),

Y Intercepts

: (0, - 8)

Asymptotes of

\frac{2 x ^{2} - 10 x + 8}{x ^{2} - 1} :

Vertical

: x = - 1,

Horizontal

: y = 2

Extreme Points of

\frac{2 x ^{2} - 10 x + 8}{x ^{2} - 1} :

None

Popular Examples

y = 6 x^{2} - 23 x + 20

y=x^2-5sin^3(x)

y = x^{2} - 5 sin^{3} (x)

f (x) = {x, x < 2}

y=-16x^2+157x+124

y = - 16 x^{2} + 157 x + 124

f(x)=-x^2+7x-13

f (x) = - x^{2} + 7 x - 13

Frequently Asked Questions (FAQ)

What is the f(x)=(2x^2-10x+8)/(x^2-1) ?
The f(x)=(2x^2-10x+8)/(x^2-1) is