Find the Inverse of f(x) = 3x -18

y = 1/3x+6

Step-by-step explanation:

Step 1

- Rewrite f(x) as y

f(x) = 3x-18 => y = 3x-18

Step 2

- Swap x and y

y = 3x-18 => x = 3y-18

Step 3

-  Slove for y (By that it means isolate y)

x = 3y-18 (+18 both sides)

x+18 = 3y (Then divide both sides by 3)

1/3x+6 = y

Final

y = 1/3x+6

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

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step-by-step explanation: