Question

Complete the inverse of F(x) below. Do not include "F-1(y) =" in your answer
F(x) x/3 - 1/3 f^-1(y)=???

Answer 1

\[y=x/3 -1/3\]
\[3(y+1/3)=x\]
now put y inplace of x and x in place of y.

Answer 2

it becomes y=3x+1

Answer 3

is that the final answer? or do more with it?

Answer 4

swap x and y

\[x = \frac{y}{3} - \frac {1}{3}\]

now make y the subject

add 1/3 to both sides

\[x + \frac{1}{3} = \frac{y}{3}\]

multiply both sides by 3

\[y = 3x + 1 \]

then \[f^{-1}(x) = 3x + 1\]