If f(x) = and g(x) = x3 ? 2, find the compositions f ° g, g ° f, f ° f, and g ° g.

Step-by-step solution Step 1 of 4 Consider two given function and To find the composition of the function mean So, put the value of g(x) in place o in the function f(x). Next step, obtain And 3 f(x) = g(x) = x 2 3 f(g(x)) = f(x 2) 3 f(g(x)) = x 2 Therefore we can write the following: