Question

Given that f[g(x)] = x, for x = 0 to x = 20. Find f(x) and g(x) such that the area between f(x) and y = x² to x = 0 to x = 5 be A₁ and area between g(x) and y = √x from y = 0 to y = 5 be A₂. Is A₁ = A₂

Answer 1

Given  that,