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

$g_3\left(x\right)=-2\sqrt{1-x^2}$

Domain: $-1\le x\le0$

Answer

$g_3\left(x\right)=-2\sqrt{1-x^2}$

Domain: $0 is less than or equal to x is less than or equal to 1$

Answer

$g_{3} (x) = 2 \sqrt{1 - x^{2}}$

Domain: $0\le x\le1$

Answer

$g_{3} (x) = 2 \sqrt{1 - x^{2}}$

Domain: $0\le x\le1$