Question

If f(x) = 6x + 8(x + 2), find f-1(x).f-1(x) = (x - 16)/14f-1(x) = x +16/14f-1(x) = -x - 16/14f-1(x) = -x + 16/14

Answer 1

We want to find the inverse of f(x);

`f(x)=6x+8(x+2)`

We solve for x;

`\begin{gathered} y=6x+8(x+2) \\ y=6x+8x+16 \\ y=14x+16 \\ y-16=14x \\ x=(y-16)/(14) \\ interchange\text{ }y\text{ }and\text{ }x \\ f^(-1)(x)=(x-16)/(14) \end{gathered}`

Thus the answer is OPTION A