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Popular Functions >

f(x)=sqrt(3x-12)+6/(x-3)

Solution

f (x) = 3 x - 12 + \frac{6}{x - 3}

Solution

Domain : x \geq 4

Range : f (x) \geq 4.44403 \dots

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (4, 6), Maximum (4.02279 \dots, 6.12778 \dots), Minimum (6.20887 \dots, 4.44403 \dots)

+1

Interval Notation

Domain : [4, \infty)

Range : [4.44403 \dots, \infty)

Solution steps

Domain of

3 x - 12 + \frac{6}{x - 3} : x \geq 4

Range of

3 x - 12 + \frac{6}{x - 3} : f (x) \geq 4.44403 \dots

Axis interception points of

3 x - 12 + \frac{6}{x - 3} :

None

Asymptotes of

3 x - 12 + \frac{6}{x - 3} :

None

Extreme Points of

3 x - 12 + \frac{6}{x - 3} :

Minimum

(4, 6),

Maximum

(4.02279 \dots, 6.12778 \dots),

Minimum

(6.20887 \dots, 4.44403 \dots)

Graph

Popular Examples

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f(x)=log_{10}(2/5)

y= 1/(3cos^3(x))-1/(cos(x))

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(3x-12)+6/(x-3) ?
The f(x)=sqrt(3x-12)+6/(x-3) is