What is the f(x)=sqrt((6x)/(x^2-14x+45)) ?

The f(x)=sqrt((6x)/(x^2-14x+45)) is

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f(x)=sqrt((6x)/(x^2-14x+45))

f (x) = \frac{6 x}{x ^{2} - 14 x + 45}

Domain : 0 \leq x < 5 or x > 9

Range : f (x) \geq 0

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 5, x = 9, Horizontal y = 0

Extreme Points : Minimum (0, 0)

Interval Notation

Domain : [0, 5) \cup (9, \infty)

Range : [0, \infty)

Solution steps

Domain of

\frac{6 x}{x ^{2} - 14 x + 45} : 0 \leq x < 5 or x > 9

Range of

\frac{6 x}{x ^{2} - 14 x + 45} : f (x) \geq 0

Axis interception points of

\frac{6 x}{x ^{2} - 14 x + 45} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{6 x}{x ^{2} - 14 x + 45} :

Vertical

: x = 5, x = 9,

Horizontal

: y = 0

Extreme Points of

\frac{6 x}{x ^{2} - 14 x + 45} :

Minimum

(0, 0)

f (x) = ln (81 - x^{2})

g (x) = (\frac{1}{3})^{x} - 1

r (x) = \frac{2 x ^{2} - 16 x - 66}{∣ x - 11 ∣}

f (x) = sin^{2} (6 x) cos^{2} (6 x)

f (x) = sin (\frac{x}{5})