Question

Please help. Functions and relations. f(x) = 6x + 4. find the inverse of f(x)

Answer 1

Step-by-step explanation

We must find the inverse function of the line given by:

`y=f(x)=6x+4.`

(1) First, we find the value of x in terms of y:

`\begin{gathered} y=6x+4, \\ 6x=y-4, \\ x=(y-4)/(6). \end{gathered}`

(2) We interchange the variables x and y:

`y=(x-4)/(6).`

The equation obtained is the inverse of f(x):

`f^(-1)(x)=(x-4)/(6).`Answer

D.

`f^(-1)(x)=(x-4)/(6).`