Question

if f(x)=logxcube and g(x)=logx

Answer 1

The function composition (f∘g)(x)(f∘g)(x) when f(x)=exf(x)=ex and g(x)=log(x)g(x)=log⁡(x) is:

(f∘g)(x)=f(g(x))=elog(x)=x(f∘g)(x)=f(g(x))=elog⁡(x)=x

When loglog is the natural logarithm (base ee).