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

The f(x,y)=sqrt(|x|+1)-sqrt(x^2+2x-3) is

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

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

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

X Intercepts : (- 4, 0), (\frac{- 1 + 17}{2}, 0)

Asymptotes : None

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

Interval Notation

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

Solution steps

Domain of

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

Axis interception points of

∣ x ∣ + 1 - x^{2} + 2 x - 3 :

X Intercepts

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

Asymptotes of

∣ x ∣ + 1 - x^{2} + 2 x - 3 :

None

Extreme Points of

∣ x ∣ + 1 - x^{2} + 2 x - 3 :

Maximum

(- 3, 2),

Maximum

(1, 2)

g (x) = 4 x + 5

g (x) = 4 x - 2

f (x) = 60 x^{8}

f (x) = x^{2} + 2 x - 48

y = 2 x^{2} - 4 x - 16

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