Answer:
[tex]f^{-1}(x)[/tex] = [tex]\frac{x-6}{3}[/tex].
Step-by-step explanation:
Given : f(x)=3x+6.
To find : which of the following is the inverse of f(x).
Solution : We have given that f(x) = 3x+6.
Let y = f(x)
y = 3x + 6.
Now, replace x with y
x = 3y + 6.
Solving for y
On subtracting by 6 both sides
x - 6 = 3y .
On dividing by 3 both sides
[tex]\frac{x-6}{3}[/tex] = y.
Now, new y is inverse of f(x)
y = [tex]f^{-1}(x)[/tex] = [tex]\frac{x-6}{3}[/tex].
Therefore, [tex]f^{-1}(x)[/tex] = [tex]\frac{x-6}{3}[/tex].
