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Let f: R->R , g: R->R be two functions d...

Let `f: R->R` , `g: R->R` be two functions defined by `f(x)=x^2+x+1` and `g(x)=1-x^2` . Write `fog\ (-2)` .

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`(` fog `)(-2)=f(g(-2))`

`=f(1-(-2)^{2})`

`=f(-3)`

`=(-3)^{2}+(-3)+1`

`=9-3+1`

`=7`

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