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Popular Functions >

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

X Intercepts : (\frac{- 1 + 17}{2}, 0), (\frac{- 1 - 17}{2}, 0)

Asymptotes : None

Extreme Points : Maximum (- 1, 2), Maximum (1, 2), Minimum (3, - 22)

+1

Interval Notation

Domain : (- \infty, - 1] \cup [1, 3]

Solution steps

Domain of

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

Axis interception points of

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

X Intercepts

: (\frac{- 1 + 17}{2}, 0), (\frac{- 1 - 17}{2}, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- 1, 2),

Maximum

(1, 2),

Minimum

(3, - 22)

Graph

Popular Examples

f(x)=sin^4(sqrt(3x+2))

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

h(t)=-4.9t^2+10t+11

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