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college algebra

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For the given functions f and g find the following and state the domain of each.
f(x)=sqrt x; g(x)=7x-3
A.what is the domain of f*g?
B. What is the domain of f/g?

Please show all work.

  • college algebra -

    domain of √x is x>=0
    domain of 7x-3 is all reals

    f*g = √x (7x-3) domain is now restricted to x>=0

    f/g = √x/(7x-3) now the domain excludes values where the denominator is zero.
    So, domain is all x>=0 except x = 3/7

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