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")`

• `"g"("x") = 1/("ax"^2 + "b")^2`

• `"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))`.