Functions

For the given function f,g, and h, find f*g*h and state the exact domain of f*g*h
f(x)=e^x
g(x)=log_x
h(x)=x/x+8

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  1. I am not sure what you mean by
    g(x) = log_x

    If your g(x) is log(base e)(x) = ln x,
    then

    f*g(x) = e^(lnx) = x
    and

    f*g*h(x) = h(x) = x/(x+8)

    However, x/(x+8) must be positive for g(x) to be defined.
    Therefore x> 0 or x < -8 is the domain

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  2. i thinkthe only ans is x> 0,its impossible to log a negative no.u may try to use a calculator to prove it. then x/x should be done first.so x < -8 or x> -8 is also possible.

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