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 ____________.

Options

• `(("x" + 7)/2)^(1//3)`

• `("x" - 7/2)^(1//3)`

• `(("x" - 2)/7)^(1//3)`

• `(("x" - 7)/2)^(1//3)`

Answer 1

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 `underline((("x" - 7)/2)^(1//3))`.