Question

If f(x) = (ax² – b)³, then the function g such that f{g(x)} = g{f(x)} is given by ____________.

Options

• `"g"("x") = (("b"-"x"^(1//3))/"a")^(1//2)`

• `"g"("x") = 1/("ax"^2 + "b")^3`

• `"g"("x") = ("ax"^2 + "b")^(1//3)`

• `"g"("x") = (("x"^(1//3) + "b")/"a")^(1//2)`

Answer 1

If f(x) = (ax² – b)³, then the function g such that f{g(x)} = g{f(x)} is given by `underline("g"("x") = (("x"^(1//3) + "b")/"a")^(1//2))`.