What is the f(x)=sqrt((12+x-x^2)/(|2x-5|)) ?

The f(x)=sqrt((12+x-x^2)/(|2x-5|)) is

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f(x)=sqrt((12+x-x^2)/(|2x-5|))

f (x) = \frac{12 + x - x ^{2}}{∣ 2 x - 5 ∣}

Domain : - 3 \leq x < \frac{5}{2} or \frac{5}{2} < x \leq 4

X Intercepts : (- 3, 0), (4, 0), Y Intercepts : (0, \frac{2 3}{5})

Asymptotes : None

Extreme Points : Minimum (- 3, 0), Minimum (4, 0)

Interval Notation

Domain : [- 3, \frac{5}{2}) \cup (\frac{5}{2}, 4]

Solution steps

Domain of

\frac{12 + x - x ^{2}}{∣ 2 x - 5 ∣} : - 3 \leq x < \frac{5}{2} or \frac{5}{2} < x \leq 4

Axis interception points of

\frac{12 + x - x ^{2}}{∣ 2 x - 5 ∣} :

X Intercepts

: (- 3, 0), (4, 0),

Y Intercepts

: (0, \frac{2 3}{5})

Asymptotes of

\frac{12 + x - x ^{2}}{∣ 2 x - 5 ∣} :

None

Extreme Points of

\frac{12 + x - x ^{2}}{∣ 2 x - 5 ∣} :

Minimum

(- 3, 0),

Minimum

(4, 0)

f (x) = \frac{cos ( x )}{cot ( x )}

f (x) = lo g_{\frac{1}{3}} (x + 1)

y = (\frac{1}{2}) x

y = 3 x + 31

g (x) = \frac{x + 6}{x ^{2} - 36}

What is the f(x)=sqrt((12+x-x^2)/(|2x-5|)) ?
The f(x)=sqrt((12+x-x^2)/(|2x-5|)) is