If F(x) = (x^2 - 1) And G(x) = (2x + 3) Then (g O F)(x) = ? - Toppr

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard XIIMathsComposition of FunctionsQuestionIf $$f(x)=(x^2-1)$$ and $$g(x)=(2x+3)$$ then $$(g o f)(x)=?$$A$$(3x^2+2)$$BNone of theseC$$(2x^2+3)$$D$$(2x^2+1)$$Open in AppSolutionVerified by Toppr

Correct option is C. $$(2x^2+1)$$$$(g o f)(x)=g[f(x)]=g(x^2-1)=2(x^2-1)+3=(2x^2+1)$$.

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