the-ellipse-shown-below-is-defined-by-the-equation-4x2y244x2y24-it-consists-of-f

Question

The ellipse shown below is defined by the equation $4 x^{2} + y^{2} = 4$ . It consists of four one-to-one functions: $g sub 1 of x$ , $g sub 2 of x$ , $g sub 3 of x$ , and $g sub 4 of x$ . What is the formula and domain for the function $g sub 3 of x$ ?

Accepted Answer

g3(x)=−21−x2g_3\left(x\right)=-2\sqrt{$$1-x^2$$} Domain: −1≤x≤0-1\le x\le0

Answer

g3(x)=−21−x2g_3\left(x\right)=-2\sqrt{$$1-x^2$$} Domain: 0≤x≤10\le x\le1

Answer

g3(x)=21−x2g_3\left(x\right)=2\sqrt{$$1-x^2$$}Domain: 0≤x≤10\le x\le1

Answer

g3(x)=21−x2g_3\left(x\right)=2\sqrt{$$1-x^2$$}Domain: −1≤x≤0-1\le x\le0