en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=sqrt(4-x)+sqrt(x^2-1)

Solution

f (x) = 4 - x + x^{2} - 1

Solution

Domain : x \leq - 1 or 1 \leq x \leq 4

Range : f (x) \geq 3

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (- 1, 5), Minimum (1, 3), Maximum (3.76761 \dots, 4.11454 \dots), Minimum (4, 15)

+1

Interval Notation

Domain : (- \infty, - 1] \cup [1, 4]

Range : [3, \infty)

Solution steps

Domain of

4 - x + x^{2} - 1 : x \leq - 1 or 1 \leq x \leq 4

Range of

4 - x + x^{2} - 1 : f (x) \geq 3

Axis interception points of

4 - x + x^{2} - 1 :

None

Asymptotes of

4 - x + x^{2} - 1 :

None

Extreme Points of

4 - x + x^{2} - 1 :

Minimum

(- 1, 5),

Minimum

(1, 3),

Maximum

(3.76761 \dots, 4.11454 \dots),

Minimum

(4, 15)

Popular Examples

y = 5 x^{2} - 98 x + 3

f(x)=48x-12x^2-8x^3+3x^4

f (x) = 48 x - 12 x^{2} - 8 x^{3} + 3 x^{4}

y = - 2 x^{2} + 8 x - 9

f (x) = x^{3} + 81

f(x)=(x^2-5)/(1-3x^2)

f (x) = \frac{x ^{2} - 5}{1 - 3 x ^{2}}

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(4-x)+sqrt(x^2-1) ?
The f(x)=sqrt(4-x)+sqrt(x^2-1) is