SOLUTION: suppose f(x)=-4x+3 and g(x)=square root of x. what is the domain of the compsite function g(f(x)) please show your work! thank you so much for helping me out!

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g(x) is a sqrt, so you know that the value under the radical cannot be negative.
You then need to solve for those values of f(x) that resolve to non-negative. Any value of x that results in f(x)>=0 is in the domain.