Find the inverse of f (x) = 6x - 3.

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

F (x) is y so, y = 6x - 3.

Flip the equation around to get x = 1/6y + 1/2