Let F(x) = 8x^3 And G(x) = X^1/3 . Find G O F And F O G. - Toppr

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIIMathsComposition of FunctionsQuestionLet $$f(x)=8x^3$$ and $$g(x)=x^{1/3}$$. Find g o f and f o g.Open in AppSolutionVerified by Toppr

Given, $$f(x)=8x^3$$ and $$g(x)=x^{1/3}$$$$(g o f)(x)=g[f(x)]=g(8x^3)=g(y)$$, where $$y=8x^3$$$$=y^{1/3}=(8x^3)^{1/3}=2x$$.$$(f o g)(x)=f[g(x)]=f(x^{1/3})=f(y)$$, where $$y=x^{1/3}$$$$=8y^3=8(x^{1/3})^3=8x^{\left(\dfrac{1}{3}\times 3\right)}=8x$$.

Was this answer helpful?69Similar QuestionsQ1Let $$f(x)=8x^3$$ and $$g(x)=x^{1/3}$$. Find g o f and f o g.View SolutionQ2

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