What is the f(x)=2sqrt(x^2-5x+6)+3sqrt(-x^2+5x-4) ?

The f(x)=2sqrt(x^2-5x+6)+3sqrt(-x^2+5x-4) is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=2sqrt(x^2-5x+6)+3sqrt(-x^2+5x-4)

f (x) = 2 x^{2} - 5 x + 6 + 3 - x^{2} + 5 x - 4

Domain : 1 \leq x \leq 2 or 3 \leq x \leq 4

Range : 22 \leq f (x) \leq 2 - \frac{70}{13} + 6 + 3 \frac{70}{13} - 4

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (1, 22), Maximum (\frac{5 13 - 3 5}{2 13}, 2 - \frac{70}{13} + 6 + 3 \frac{70}{13} - 4), Minimum (2, 32), Minimum (3, 32), Maximum (\frac{5 13 + 3 5}{2 13}, 2 - \frac{70}{13} + 6 + 3 \frac{70}{13} - 4), Minimum (4, 22)

Interval Notation

Domain : [1, 2] \cup [3, 4]

Range : [22, 2 - \frac{70}{13} + 6 + 3 \frac{70}{13} - 4]

Solution steps

Domain of

2 x^{2} - 5 x + 6 + 3 - x^{2} + 5 x - 4 : 1 \leq x \leq 2 or 3 \leq x \leq 4

Range of

2 x^{2} - 5 x + 6 + 3 - x^{2} + 5 x - 4 : 22 \leq f (x) \leq 2 - \frac{70}{13} + 6 + 3 \frac{70}{13} - 4

Axis interception points of

2 x^{2} - 5 x + 6 + 3 - x^{2} + 5 x - 4 :

None

Asymptotes of

2 x^{2} - 5 x + 6 + 3 - x^{2} + 5 x - 4 :

None

Extreme Points of

2 x^{2} - 5 x + 6 + 3 - x^{2} + 5 x - 4 :

Minimum

(1, 22),

Maximum

(\frac{5 13 - 3 5}{2 13}, 2 - \frac{70}{13} + 6 + 3 \frac{70}{13} - 4),

Minimum

(2, 32),

Minimum

(3, 32),

Maximum

(\frac{5 13 + 3 5}{2 13}, 2 - \frac{70}{13} + 6 + 3 \frac{70}{13} - 4),

Minimum

(4, 22)

f (x) = - x^{2} - 3 x + 6

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

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

f (x) = lo g_{10} (x^{2} + 2 x - 3)

f (x) = x^{2} + 2 x - 18

What is the f(x)=2sqrt(x^2-5x+6)+3sqrt(-x^2+5x-4) ?
The f(x)=2sqrt(x^2-5x+6)+3sqrt(-x^2+5x-4) is