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Popular >

y=(|1+x|^{3/2})/(sqrt(x))

Solution

y = \frac{∣ 1 + x ∣ ^{\frac{3}{2}}}{x}

Solution

Domain : x > 0

Range : f (x) \geq \frac{3 \cdot 3 ^{\frac{1}{2}}}{2}

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Minimum (\frac{1}{2}, \frac{3 \cdot 3 ^{\frac{1}{2}}}{2})

+1

Interval Notation

Domain : (0, \infty)

Range : [\frac{3 3 ^{\frac{1}{2}}}{2}, \infty)

Solution steps

Domain of

\frac{∣ 1 + x ∣ ^{\frac{3}{2}}}{x} : x > 0

Range of

\frac{∣ 1 + x ∣ ^{\frac{3}{2}}}{x} : f (x) \geq \frac{3 \cdot 3 ^{\frac{1}{2}}}{2}

Axis interception points of

\frac{∣ 1 + x ∣ ^{\frac{3}{2}}}{x} :

None

Asymptotes of

\frac{∣ 1 + x ∣ ^{\frac{3}{2}}}{x} :

Vertical

: x = 0

Extreme Points of

\frac{∣ 1 + x ∣ ^{\frac{3}{2}}}{x} :

Minimum

(\frac{1}{2}, \frac{3 \cdot 3 ^{\frac{1}{2}}}{2})

Popular Examples

g (x) = (x + 1)^{2}

f(x)=3x^2+10x+6

f (x) = 3 x^{2} + 10 x + 6

f(x)=3x^2+10x-3

f (x) = 3 x^{2} + 10 x - 3

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

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

f(x)=(-3x-9)/(x^2-9)

f (x) = \frac{- 3 x - 9}{x ^{2} - 9}

Frequently Asked Questions (FAQ)

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