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Popular >

g(x)=sqrt(x^2-4)

Solution

g (x) = x^{2} - 4

Solution

Domain : x \leq - 2 or x \geq 2

Range : f (x) \geq 0

X Intercepts : (2, 0), (- 2, 0)

Asymptotes : Slant y = x, y = - x

Extreme Points : Minimum (- 2, 0), Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, - 2] \cup [2, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} - 4 : x \leq - 2 or x \geq 2

Range of

x^{2} - 4 : f (x) \geq 0

Axis interception points of

x^{2} - 4 :

X Intercepts

: (2, 0), (- 2, 0)

Asymptotes of

x^{2} - 4 :

Slant

: y = x, y = - x

Extreme Points of

x^{2} - 4 :

Minimum

(- 2, 0),

Minimum

(2, 0)

Popular Examples

f(x)=sqrt(x+2)+1/(sqrt(3-x))

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

f(x)=(1+sin(x))/(cos(x))

f (x) = \frac{1 + sin ( x )}{cos ( x )}

y = 2 \cdot (\frac{1}{2})^{x}

y=x^3-(3x^2)/2+3

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

f(x)=sqrt(5+4x)

f (x) = 5 + 4 x

Frequently Asked Questions (FAQ)

What is the g(x)=sqrt(x^2-4) ?
The g(x)=sqrt(x^2-4) is