If f: R rightarrow R is defined by f(x) = (3 | vedclass

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(D) Given $f(x) = (3 - x^3)^{\frac{1}{3}}$.First,find $(f \circ f)(x) = f(f(x)) = f((3 - x^3)^{\frac{1}{3}})$.Substitute $f(x)$ into the function: $f(

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$(3 - x^3)^{\frac{1}{3}}$

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(D) Given $f(x) = (3 - x^3)^{\frac{1}{3}}$.First,find $(f \circ f)(x) = f(f(x)) = f((3 - x^3)^{\frac{1}{3}})$.Substitute $f(x)$ into the function: $f(f(x)) = (3 - ((3 - x^3)^{\frac{1}{3}})^3)^{\frac{1}{3}}$.Simplify: $f(f(x)) = (3 - (3 - x^3))^{\frac{1}{3}} = (3 - 3 + x^3)^{\frac{1}{3}} = (x^3)^{\frac{1}{3}} = x$.Now,find $f \circ (f \circ f)(x) = f(f(f(x))) = f(x)$.Therefore,$f \circ (f \circ f)(x) = (3 - x^3)^{\frac{1}{3}}$.

If $f: R \rightarrow R$ is defined by $f(x) = (3 - x^3)^{\frac{1}{3}}$,then $f \circ (f \circ f)(x) = $ . . . . . . .

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