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Popular >

f(x)=(sqrt(2x+3))/(4x)

Solution

f (x) = \frac{2 x + 3}{4 x}

Solution

Domain : - \frac{3}{2} \leq x < 0 or x > 0

Range : - \infty < f (x) < \infty

X Intercepts : (- \frac{3}{2}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (- \frac{3}{2}, 0)

+1

Interval Notation

Domain : [- \frac{3}{2}, 0) \cup (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{2 x + 3}{4 x} : - \frac{3}{2} \leq x < 0 or x > 0

Range of

\frac{2 x + 3}{4 x} : - \infty < f (x) < \infty

Axis interception points of

\frac{2 x + 3}{4 x} :

X Intercepts

: (- \frac{3}{2}, 0)

Asymptotes of

\frac{2 x + 3}{4 x} :

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{2 x + 3}{4 x} :

Maximum

(- \frac{3}{2}, 0)

Popular Examples

y=x^4-4/3 x^3-12x^2,-3<= x<= 4

y = x^{4} - \frac{4}{3} x^{3} - 12 x^{2}, - 3 \leq x \leq 4

f(x)=sqrt(2x+16)

f (x) = 2 x + 16

y = x + 10

f(x)=-5x^2+9x-7

f (x) = - 5 x^{2} + 9 x - 7

E(x)=\sqrt[3]{(x^2)/(\sqrt[4]{x)}}

Frequently Asked Questions (FAQ)

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