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Popular >

f(x)=(4x^2+4)/(2x^2-8)

Solution

f (x) = \frac{4 x ^{2} + 4}{2 x ^{2} - 8}

Solution

Domain : x < - 2 or - 2 < x < 2 or x > 2

Range : f (x) \leq - \frac{1}{2} or f (x) > 2

Y Intercepts : (0, - \frac{1}{2})

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

Extreme Points : Maximum (0, - \frac{1}{2})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Range : (- \infty, - \frac{1}{2}] \cup (2, \infty)

Solution steps

Domain of

\frac{4 x ^{2} + 4}{2 x ^{2} - 8} : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{4 x ^{2} + 4}{2 x ^{2} - 8} : f (x) \leq - \frac{1}{2} or f (x) > 2

Axis interception points of

\frac{4 x ^{2} + 4}{2 x ^{2} - 8} :

Y Intercepts

: (0, - \frac{1}{2})

Asymptotes of

\frac{4 x ^{2} + 4}{2 x ^{2} - 8} :

Vertical

: x = - 2, x = 2,

Horizontal

: y = 2

Extreme Points of

\frac{4 x ^{2} + 4}{2 x ^{2} - 8} :

Maximum

(0, - \frac{1}{2})

Popular Examples

f (x) = 3 x^{2} - 7 x + 8

y = ln (2 x + 3)

f(x)=-0.3x^2+18x-100

f (x) = - 0.3 x^{2} + 18 x - 100

f(x)=2log_{10}(3x-9)+5

f (x) = 2 lo g_{10} (3 x - 9) + 5

f (x) = - 3 x + 15

Frequently Asked Questions (FAQ)

What is the f(x)=(4x^2+4)/(2x^2-8) ?
The f(x)=(4x^2+4)/(2x^2-8) is