Question -
Answer -
Given f:┬аR+┬атЖТ┬аR+┬аand┬аg:┬аR+┬атЖТ┬аR+
So,┬аfog:┬аR+┬атЖТ┬аR+┬аand┬аgof:┬аR+┬атЖТ┬аR+
Domains of┬аfog┬аand┬аgof┬аare the same.
Now we have to findfog and gof also we have to check whether they are equal or not,
Consider(fog)┬а(x)┬а=┬аf┬а(g (x))
= f (тИЪx)
= тИЪx2
= x
Now consider(gof)┬а(x)┬а= g (f (x))
= g (x2)
= тИЪx2
= x
So,┬а(fog)┬а(x)┬а=┬а(gof)┬а(x),┬атИАx┬атИИ R+
Hence,┬аfog┬а=┬аgof