Questions: Given the function f(x)=(x+2)^3, complete parts a through c. (a) Find an equation for f^(-1)(x). (b) Graph f and f^(-1) in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of f and f^(-1).

Given the function f(x)=(x+2)^3, complete parts a through c.
(a) Find an equation for f^(-1)(x).
(b) Graph f and f^(-1) in the same rectangular coordinate system.
(c) Use interval notation to give the domain and the range of f and f^(-1).

Transcript text: Given the function $f(x)=(x+2)^{3}$, complete parts a through c. (a) Find an equation for $\mathrm{f}^{-1}(\mathrm{x})$. (b) Graph $f$ and $f^{-1}$ in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of $f$ and $f^{-1}$.

Solution

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = (x+2)3", "y = (x(1/3)) - 2"], "latex_expressions": ["$y = (x+2)^3$", "$y = \\sqrt[3]{x} - 2$"]}

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