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Popular >

f(x)=4+(2a)/(x+1)

Solution

f (x) = 4 + \frac{2 a}{x + 1}

Solution

Domain : x < - 1 or x > - 1

Range : f (x) < 4 or f (x) > 4

Y Intercepts : (0, 4 + 2 a)

Asymptotes : Vertical x = - 1, Horizontal y = 4

Extreme Points : {a > 0 : Minimum (0, 4 + 2 a), a < 0 : Maximum (0, 4 + 2 a)}

+1

Interval Notation

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

Range : (- \infty, 4) \cup (4, \infty)

Solution steps

Domain of

4 + \frac{2 a}{x + 1} : x < - 1 or x > - 1

Range of

4 + \frac{2 a}{x + 1} : f (x) < 4 or f (x) > 4

Axis interception points of

4 + \frac{2 a}{x + 1} :

Y Intercepts

: (0, 4 + 2 a)

Asymptotes of

4 + \frac{2 a}{x + 1} :

Vertical

: x = - 1,

Horizontal

: y = 4

Extreme Points of

4 + \frac{2 a}{x + 1} : {a > 0 : Minimum (0, 4 + 2 a), a < 0 : Maximum (0, 4 + 2 a)}

Popular Examples

f(x)=(2x-3)/(-x+2)

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

f (x) = - x^{2} + 16 x

f (x) = 11 - 3 x

y = (4 - x^{2})^{5}

y = 2 (x - 1) (x + 3)

Frequently Asked Questions (FAQ)

What is the f(x)=4+(2a)/(x+1) ?
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