If f(x) = loge (1 − x) and g(x) = [x], then determine each of the following functions:
(i) f + g
(ii) fg
(iii)
(iv)
Also, find (f + g) (−1), (fg) (0), .
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Q3
If the two circles x2+y3+2gx+2fy=0andx2+y2+2g1x+2f1y=0 touch each other then
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Q4
If the function are defined as f(x)=√x and g(x)=√1−x, then what is the common domain of the following functions: f+g,f−g,fg,gf,g−f where (f±g)(x)=f(x)±g(x),(fg)(x)=f(x)g(x)