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Popular >

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

Solution

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

Solution

Domain : x \leq - 1 or 1 \leq x \leq 3

Range : f (x) \geq 2

Intercepts : None

Asymptotes : None

Extreme Points : Minimum (- 1, 2), Minimum (1, 2), Maximum (2.78229 \dots, 3.06296 \dots), Minimum (3, 22)

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

None

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 1, 2),

Minimum

(1, 2),

Maximum

(2.78229 \dots, 3.06296 \dots),

Minimum

(3, 22)

Popular Examples

f(x)=-3x^2*log_{10}(x+8)

f (x) = - 3 x^{2} \cdot lo g_{10} (x + 8)

y = 2 sin (x + \frac{π}{3})

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

f (x) = \frac{x - 2}{x - 2}

f(x)= 3/((x-3))

f (x) = \frac{3}{( x - 3 )}

h(t)=-0.2t^2+0.4t+1.6

h (t) = - 0.2 t^{2} + 0.4 t + 1.6

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(3-x)+sqrt(x^2-1) ?
The f(x)=sqrt(3-x)+sqrt(x^2-1) is