determine-the-inverse-of-the-function-and-its-domain-gxx23gleftxrightleftx-2righ

Question

Determine the inverse of the function and its domain: ﻿g(x)=(x−2)3g\left(x\right)=\left(x-2\$$right)^3g(x)=(x$$−2)3﻿

Accepted Answer

﻿g−1(x)=x3+2,domain:(−∞,∞$$)g^{-1}(x$$)=\sqrt[3]{x}+2,domain:(-\infty,\infty)g−1(x)=3x​+2,domain:(−∞,∞)﻿

Answer

﻿g−1(x)=x+23,domain:(−∞,∞$$)g^{-1}(x$$)=\sqrt[3]{x+2},domain:(-\infty,\infty)g−1(x)=3x+2​,domain:(−∞,∞)﻿

Answer

﻿g−1(x)=x−23,domain:(0,∞$$)g^{-1}(x$$)=\sqrt[3]{x-2},domain:(0,\infty)g−1(x)=3x−2​,domain:(0,∞)﻿

Answer

﻿g−1(x)=x3−2,domain:(−∞,∞$$)g^{-1}(x$$)=\sqrt[3]{x}-2,domain:(-\infty,\infty)g−1(x)=3x​−2,domain:(−∞,∞)﻿

Determine the inverse of the function and its domain: g(x)=(x−2)3g\(\left\)(x\(\right\))=\(\left\)(x-2\(\right\))^3g(x)=(x−2)3