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if f(x)=lnx, g(x)=e^3x, and h(x)=x^4 find following

A)(f of g)(x)and the domain of f of g

B) (g of f)(x) and the domain of g of f

C) (f of h)(x) and the domain of f of h

please show work

  • algebra -

    I will do B), you do the others the same way ...

    (g of f)(x) to me means g(f(x))
    = g(lnx)
    = e^(3lnx)

    since we can only take logs of positive numbers,
    domain: x > 0
    range: I hope you are familiar with the basic exponential function, so y>0

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