en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=sqrt(7x-21)+x/(x-8)

Solution

f (x) = 7 x - 21 + \frac{x}{x - 8}

Solution

Domain : 3 \leq x < 8 or x > 8

Range : f (x) \leq 2.07628 \dots or f (x) \geq 10.92891 \dots

X Intercepts : (3.05449 \dots, 0), (6.68378 \dots, 0)

Asymptotes : Vertical x = 8

Extreme Points : Minimum (3, - \frac{3}{5}), Maximum (5.05548 \dots, 2.07628 \dots), Minimum (12.29371 \dots, 10.92891 \dots)

+1

Interval Notation

Domain : [3, 8) \cup (8, \infty)

Range : (- \infty, 2.07628 \dots] \cup [10.92891 \dots, \infty)

Solution steps

Domain of

7 x - 21 + \frac{x}{x - 8} : 3 \leq x < 8 or x > 8

Range of

7 x - 21 + \frac{x}{x - 8} : f (x) \leq 2.07628 \dots or f (x) \geq 10.92891 \dots

Axis interception points of

7 x - 21 + \frac{x}{x - 8} :

X Intercepts

: (3.05449 \dots, 0), (6.68378 \dots, 0)

Asymptotes of

7 x - 21 + \frac{x}{x - 8} :

Vertical

: x = 8

Extreme Points of

7 x - 21 + \frac{x}{x - 8} :

Minimum

(3, - \frac{3}{5}),

Maximum

(5.05548 \dots, 2.07628 \dots),

Minimum

(12.29371 \dots, 10.92891 \dots)

Popular Examples

y = - x^{2} - 4 x + 1

f(n)=(ln(n+1))/(ln(n))

f (n) = \frac{ln ( n + 1 )}{ln ( n )}

y = 4 x^{3}

f(x)=x^2+10x+25

f (x) = x^{2} + 10 x + 25

y = - (x + 3)^{2} + 4

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(7x-21)+x/(x-8) ?
The f(x)=sqrt(7x-21)+x/(x-8) is