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  • Let f, g: R \rightarrow R be defined by f(x) = 2x + 1 and g (x) = x\textsuperscript{2} – 2, \forall x \in R, respectively. Then, find gof.\\

Let f, g:R \rightarrow R be defined by f(x) = 2x + 1 and g (x) = x\textsuperscript{2} - 2, \forall x \in R, respectively. Then, find gof.

Answers (1)

Here, 

f(x) = 2x + 1 

g (x) = x\textsuperscript{2} -2, \forall x \in R\\

Therefore, gof= g(f(x)) = g (2x + 1) = (2x + 1)\textsuperscript{2} -2 = 4x\textsuperscript{2} + 4x + 1 -2 = 4x\textsuperscript{2} + 4x - 1\\

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infoexpert22

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