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SOLUTION:
Step 1:
In the question, we are meant to find the inverse of f(x):
[tex]f(\text{ x ) = 3 x + 6}[/tex]Step 2:
Solving this, we have that:
[tex]\begin{gathered} f(x)\text{ = 3x + 6} \\ \text{Let f(x) = y } \\ \text{Then y = 3 x + 6} \\ y-\text{ 6 = 3x } \\ x\text{ = }\frac{y-6}{3} \\ f^{-1}\text{ ( x ) = }\frac{x-6}{3} \end{gathered}[/tex]CONCLUSION:
The inverse of:
[tex]f^{-1}(x)\text{ = }\frac{x-6}{3}[/tex]