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Popular >

f(x)=(2sqrt(x)-1)/(4x+1)

Solution

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

Solution

Domain : x \geq 0

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

X Intercepts : (\frac{1}{4}, 0), Y Intercepts : (0, - 1)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (0, - 1), Maximum (\frac{3 + 2 2}{4}, \frac{2 - 1}{2})

+1

Interval Notation

Domain : [0, \infty)

Range : [- 1, \frac{2 - 1}{2}]

Solution steps

Domain of

\frac{2 x - 1}{4 x + 1} : x \geq 0

Range of

\frac{2 x - 1}{4 x + 1} : - 1 \leq f (x) \leq \frac{2 - 1}{2}

Axis interception points of

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

X Intercepts

: (\frac{1}{4}, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(0, - 1),

Maximum

(\frac{3 + 2 2}{4}, \frac{2 - 1}{2})

Popular Examples

f(x)=-2x^2+5x-4

f (x) = - 2 x^{2} + 5 x - 4

f(x)=4-cos^2(x)

f (x) = 4 - cos^{2} (x)

f (A) = sec^{2} (A)

f(x)=-(x-5)^2+25

f (x) = - (x - 5)^{2} + 25

f (- 2) = - 4 x^{2} + 10

Frequently Asked Questions (FAQ)

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