Question

If f(x) = 3x +6, what is the inverse of f(x)?

Answer 1

Step 1:

In the question, we are meant to find the inverse of f(x):

`f(\text{ x ) = 3 x + 6}`

Step 2:

Solving this, we have that:

`\begin{gathered} f(x)\text{ = 3x + 6} \\ \text{Let f(x) = y } \\ \text{Then y = 3 x + 6} \\ y-\text{ 6 = 3x } \\ x\text{ = }(y-6)/(3) \\ f^(-1)\text{ ( x ) = }(x-6)/(3) \end{gathered}`

CONCLUSION:

The inverse of:

`f^(-1)(x)\text{ = }(x-6)/(3)`