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Popular Functions >

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

Solution

h (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)

Graph

Popular Examples

f(x)=(x+1)/(x^2+x)

f(x)=sqrt(sin(x)+1)

f(x)=(x-2)/(sqrt(x+1))

f(x)=sqrt(3)x^2+11x+6sqrt(3)

Frequently Asked Questions (FAQ)

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