Homework SourseWrite y2x53 as fgx defining fx and gxSolutionThe function y
Write y=(2-x)^5/3 as f[g(x)], defining f(x) and g(x)
Solution
The function y = (2 - x)^(5/3) has to written in the form f(g(x)) by defining arbitrary functions f(x) and g(x).
f(g(x)) = (2 - x)^(5/3)
We can use g(x) = 2 - x and f(x) = x^(5/3)
Using these functions we see that f(g(x)) = f(2 - x) = (2 - x)^(5/3)
The functions f(x) and g(x) which make f(g(x)) = (2 - x)^(5/3) are f(x) = x^(5/3) and g(x) = 2 - x
![Write y=(2-x)^5/3 as f[g(x)], defining f(x) and g(x)SolutionThe function y = (2 - x)^(5/3) has to written in the form f(g(x)) by defining arbitrary functions f(](/WebImages/13/write-y2x53-as-fgx-defining-fx-and-gxsolutionthe-function-y-1015027-1761524365-0.webp "Write y=(2-x)^5/3 as f[g(x)], defining f(x) and g(x)SolutionThe function y = (2 - x)^(5/3) has to written in the form f(g(x)) by defining arbitrary functions f(")
