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Let R be the set of real numbes. If f: R...

Let `R` be the set of real numbes. If `f: RvecR ;f(x)=x^2` and `g: RvecR ;g(x)=2x+1` . Then, find `foga n dgof` . Also, show that `fog!=gofdot`

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`f: R rightarrow g:R-> R `

`=x^{2}, g(x)=2 x+1 1[g(x)] =[g(x)]^{2} f l o g =(2 x+1)^{2} `

`g(x)=2 x+1`

`g[f(x)]=2 f(x)+1`

`gof=2 x^{2}+1`

`fog!=gofdot`

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