Define the function formula for each of the following given the function definitions for f, g, and h. f(x) = ?x + 4 g(x) = 4x - 5 h(x) = 6/x a. f(g(x)) = sqrt(4x-1) b. g(f(x)) = 4(x+4)-5 c. h(f(x)) = 7/(sqrt(x-4))
Added by Joaquin M.
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Step 1
For h(z) f(g(z)) = √(4x-1), we first need to find g(z). According to the given, g(z) = 4z - 5. Then we substitute g(z) into f, we get f(g(z)) = √(4z - 5 + 4) = √(4z - 1). So, h(z) f(g(z)) = √(4x-1) is actually h(z) = x. Show more…
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