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Given the function f(x)1/(x+2) . Find th...

Given the function `f(x)1/(x+2)` . Find the points of discontinuity of the function `f(f(x))`

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`f[f(x)]=frac{1}{frac{1}{x+2}+2}=frac{x+2}{2 x+5}`

So, `f[f(x)]` is not defined at `x+2=0` and `2 x+5=0` If `x+2=`, then `x=-2`

If `2 x+5=0`, then `x=-frac{5}{2}`

Hence, the function is discontinuous at `x=-frac{5}{2}` and `-2`

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