f(x) = 2 / (x^2 + 2). Find g, the inverse of f.
Rewrite as y = 2 / (x^2 + 2). Swap all x and y symbols to create x = 2 / (y^2 + 2). Rearrange for y to reach y=g(x)=sqrt( (2-2x) / x ).
AR
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One important question type to be able to answer is integrating squared trig functions. like cos^2(x)