Practice problem
Let f(x)=exf(x)=e^xf(x)=ex and g(x)=lnx.g(x)=\ln x.g(x)=lnx. What are f(g(x))f(g(x))f(g(x)) and g(f(x))?g(f(x))?g(f(x))?
f(g(x))=ex⋅lnxf(g(x)) = e^x\cdot \ln xf(g(x))=ex⋅lnx and g(f(x))=ex⋅lnxg(f(x)) = e^x\cdot \ln xg(f(x))=ex⋅lnx
f(g(x))=exf(g(x)) = e^xf(g(x))=ex and g(f(x))=lnxg(f(x)) = \ln xg(f(x))=lnx
f(g(x))=eexf(g(x)) = e^{e^x}f(g(x))=eex and g(f(x))=ln(lnx)g(f(x)) = \ln (\ln x)g(f(x))=ln(lnx)
f(g(x))=xf(g(x)) = xf(g(x))=x and g(f(x))=xg(f(x)) = xg(f(x))=x
Type a concept, like “slope” or “photosynthesis”.
