What is the f(x)=((3x-1)/(sqrt(2x-3))) ?

The f(x)=((3x-1)/(sqrt(2x-3))) is

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f(x)=((3x-1)/(sqrt(2x-3)))

f (x) = (\frac{3 x - 1}{2 x - 3})

Domain : x > \frac{3}{2}

Range : f (x) \geq 21

Intercepts : None

Asymptotes : Vertical x = \frac{3}{2}

Extreme Points : Minimum (\frac{8}{3}, 21)

Interval Notation

Domain : (\frac{3}{2}, \infty)

Range : [21, \infty)

Solution steps

Domain of

\frac{3 x - 1}{2 x - 3} : x > \frac{3}{2}

Range of

\frac{3 x - 1}{2 x - 3} : f (x) \geq 21

Axis interception points of

\frac{3 x - 1}{2 x - 3} :

None

Asymptotes of

\frac{3 x - 1}{2 x - 3} :

Vertical

: x = \frac{3}{2}

Extreme Points of

\frac{3 x - 1}{2 x - 3} :

Minimum

(\frac{8}{3}, 21)

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