SOLUTION: 6. a) Given f(x) = log(x) and g(x) = 1/(𝑥+3), identify the steps you would take to determine the domain of (f ∘ g)(x). What is the domain of (f ∘ g)(x)? b) Would the dom

Algebra ->  Functions -> SOLUTION: 6. a) Given f(x) = log(x) and g(x) = 1/(𝑥+3), identify the steps you would take to determine the domain of (f ∘ g)(x). What is the domain of (f ∘ g)(x)? b) Would the dom      Log On


   

Question 1162522: 6. a) Given f(x) = log(x) and g(x) = 1/(𝑥+3), identify the steps you would take to determine the domain of (f ∘ g)(x). What is the domain of (f ∘ g)(x)?
b) Would the domain of (g ∘ f)(x) be the same? Explain. What is the domain of (g ∘ f)(x)?
Answer by solver91311(24713) About Me  (Show Source):
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Since the domain of the log function is , then



Hence





Therefore



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Since rational functions are not defined for any value of the independent variable that causes the denominator of the function to equal zero,





So, depending on whether you mean or when you write without specifying the base,



or




John

My calculator said it, I believe it, that settles it