Question

If f(x) = 7x + 9x + 2, then f-1(x) = __________.f -1(x) = 16(x - 2)f -1(x) = (x - 2)/16f -1(x) = (1/16)(x + 2)f -1(x) = (1/8)(x - 2)

Answer 1

Given the function as shown below

`f(x)=7x+9x+2`

To find the inverse of f(x), we will set it to y first

`\begin{gathered} y=7x+9x+2 \\ y=16x+2 \end{gathered}`

Swap the position of y and x, then solve for y

`x=16y+2`
`\begin{gathered} x-2=16y \\ (x-2)/(16)=y \\ f^(-1)(x)=y \\ f^(-1)(x)=(x-2)/(16) \end{gathered}`

Hence, the inverse of the function f(x) is:

`f^(-1)(x)=(x-2)/(16)`

Option B is the right choice