Question

Find the inverse function for f(x) = 675 + 2

Answer 1

Replace f(x) with y .

`y=6x^5\text{ + 2}`

`\begin{gathered} \text{make x the subject of the formular } \\ y-2=6x^5 \\ divide\text{ both sides by 6} \\ (y-2)/(6)=x^5 \\ \end{gathered}`
`\begin{gathered} To\text{ make x stand alone } \\ \sqrt[5]{(y-2)/(6)}\text{ = x} \end{gathered}`

Swap x and y

`\sqrt[5]{(x-2)/(6)}\text{ = y}`

Therefore,

`f^(-1)(x)\text{ = }\sqrt[5]{(x-2)/(6)}`