If A={x∈R/f(x)=0} and B={x∈R/g(x)=0} then A∩B is
Find the value of A∩B :
Given A={x∈R/f(x)=0} and B={x∈R/g(x)=0}
A∩B={x∈R/f(x)=0andg(x)=0}={x∈R|f2(x)+g2(x)=0}
Hence the value of A∩B is {x∈R|f2(x)+g2(x)=0}