Question

Let f : R → R, g : R → R be two functions such that f(x) = 2x – 3, g(x) = x³ + 5. The function (fog)^-1 (x) is equal to
(a) \(\left(\frac{x+7}{2}\right)^{1 / 3}\)
(b) \(\left(x-\frac{7}{2}\right)^{1 / 3}\)
(c) \(\left(\frac{x-2}{7}\right)^{1 / 3}\)
(d) \(\left(\frac{x-7}{2}\right)^{1 / 3}\)

Answer 1

(d) \(\left(\frac{x-7}{2}\right)^{1 / 3}\)