Question

f(x)=logx,g(x)=x×x×x show that f(g(x))=3f(x)​

Answer 1

Step-by-step explanation:

given, f(x)=logx

  and g(x)=x×x×x = x³

to prove : f(g(x))=3f(x)​

LHS = f(g(x))

       = f(x³)

       = log x³

       = 3 log x

       = 3 f(x)

       = RHS

=> LHS = RHS

=> here, f(g(x))=3f(x)​

hence proved