Answer
(a) $f^{-1}(x)=\frac{5x-1}{2}$
(b) $f^{-1}(x)=\frac{1}{3-x}$
(c) $f^{-1}(x)=\sqrt[3] {x^2-2}$
(d) $f^{-1}(x)=\frac{\sqrt[3] x+5}{2}$
No. see explanation.
Work Step by Step
We can not use simple reversal to find the inverse of $f(x)=x^3+2x+6$
as the process involves finding the solution of $x$ in terms of $y$ and this
function can not be solved by simply reverse the operations.
