Answer:
f^-1(x)=x/6+1/2
Step-by-step explanation:
f(x)=6x-3
Replace f(x) with y
Y=6x-3
Interchange the variable
X=6y-3
Rewrite the equation as
6y-3=x
Add 3 to both side
6y-3+3=x+3
6y=x+3
Divide each term by 6 and simplify
6y/6=x/6+3/6
Cancel the common factors
Y=x/6+1/2
Solve for Y and replace with f^-1(x)
f^-1(x)= x/6+1/2
