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Popular >

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

Solution

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

Solution

Domain : x \geq 0

Range : 0 < f (x) \leq 1.42031 \dots

Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (0, 1), Maximum (0.31407 \dots, 1.42031 \dots)

+1

Interval Notation

Domain : [0, \infty)

Range : (0, 1.42031 \dots]

Solution steps

Domain of

\frac{x + 1}{x ^{2} + 1} : x \geq 0

Range of

\frac{x + 1}{x ^{2} + 1} : 0 < f (x) \leq 1.42031 \dots

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(0, 1),

Maximum

(0.31407 \dots, 1.42031 \dots)

Popular Examples

derivative of e^{5x}derivative of

e^{5 x}

integral from 0 to 1 of 1/(x^2)

\int_{0}^{1} \frac{1}{x ^{2}} d x

integral of (tan^2(x))/(sec^2(x))

\int \frac{tan ^{2} ( x )}{sec ^{2} ( x )} d x

integral of (2x+1)/(sqrt(x-2))

\int \frac{2 x + 1}{x - 2} d x

y^{^{'}} = y (y^{3} - 1)

Frequently Asked Questions (FAQ)

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