Given the functons;
q(r) = 3r + 1
p(z) = z-1/3
Required
what is (q. p)(z)?
This is a composite function which can also be expressed as;
q(p(z))
q(p(z)) = q((z-1)/3)
To get q((z-1)/3), we will replace r in q(r) with (z-1)/3
q((z-1)/3) = 3((z-1)/3)+1
q((z-1)/3) = z-1 + 1
q((z-1)/3) = z
Hence the composite function(q. p)(z) is z
