Given f(x) = sqrt(2 - 4x) and g(x) = -3/x, Find (g ⚬ f)(x) and the Domain in Interval Notation

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Given f(x) = sqrt(2 - 4x) and g(x) = -3/x, find the following:
a. (g ⚬ f)(x)
b. the domain of (g ⚬ f)(x) in interval notation.

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any x value greater than 0.5 would make the function insolvable therefore the answer should be x<0.5 (pls correct me if I'm wrong )

nirvaanagarwal
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my textbook gives the domain as (- infinity, 1/2). is it because of the (-) in front?

mackenziev
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your videos have been very helpful !!! but something is wrong with your answer, if the answer is a number greater than 1/2, let's say 1, plug 1 into the first function, that will make the square root negative, which is not working.

katt