If F(x) = X + 7 And G(x) = X - 7, X∈ R , Write F∘ G(7) . - Toppr

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIIMathsComposition of FunctionsQuestionIf $$f(x)=x+7$$ and $$g(x)=x-7, x\in R$$, write $$f\circ g(7)$$.Open in AppSolutionVerified by Toppr

$$f\circ g$$ means $$g(x)$$ function is in $$f(x)$$ function. $$\Rightarrow$$ $$f\circ g(x)=f[g(x)]$$ $$=f(x-7)$$ ...................[ Since, $$g(x)=x-7$$ ] $$=x-7+7$$ ..................[ Since, $$f(x)=x+7$$ ] $$=x$$$$\Rightarrow$$ $$f\circ g(x)=x$$$$\Rightarrow$$ $$f\circ g(7)=7$$

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