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Popular >

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

Solution

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

Solution

Domain : x < - 1 or x > - 1

Range : f (x) \leq \frac{1}{8}

X Intercepts : (1, 0), Y Intercepts : (0, - 1)

Asymptotes : Vertical x = - 1, Horizontal y = 0

Extreme Points : Maximum (3, \frac{1}{8})

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = - 1,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(3, \frac{1}{8})

Popular Examples

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f (x) = ln (1 + 2 x) - x^{2}

f(x)= 1/(x^4-16)

f (x) = \frac{1}{x ^{4} - 16}

p (x) = 2 x^{2} + 8

f(x)=sin(+sin(x))

f (x) = sin (+ sin (x))

f(r)=sqrt(1+r^2)

f (r) = 1 + r^{2}

Frequently Asked Questions (FAQ)

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