Question

a function is defined as shown. $f(x) = 6x - 1$ what is the inverse of this function?

Explanation:

Step1: Set $y=f(x)$

$y=6x-1$

Step2: Swap $x$ and $y$

$x=6y-1$

Step3: Solve for $y$

$x+1=6y$
$y=\frac{x+1}{6}$

Step4: Rename as inverse function

$f^{-1}(x)=\frac{x+1}{6}$

Answer:

$f^{-1}(x)=\frac{x+1}{6}$