# Find the inverse of the function. y = 3x - 3

Question
Linear equations and graphs
Find the inverse of the function. y = 3x - 3

2020-12-13
Swap the variables: x=3y−3
Solve for y. Add 3 to both sides: x+3=3y−3+3
x+3=3y
Multiply both sides by $$\displaystyle\frac{{1}}{{3}}$$: $$\displaystyle\frac{{1}}{{3}}{\left({x}+{3}\right)}=\frac{{1}}{{3}}{\left({3}{y}\right)}$$
PSK1/3x+1=y
or
$$\displaystyle{y}=\frac{{1}}{{3}}{x}+{1}$$

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