Question

Determine f^-1(2) given the following: f(1 = -3f(2) = -2f(-1) = 2f(3) = -1

Answer 1

We assume that the function is as follows:

`f^{-1_{}}(2)=?`

Then, we have that:

`f^(-1)(x)=(1)/(f(x))`

Thus, if we have that:

`f(2)=-2\Rightarrow f^{-1^{}_{}}(x)=(1)/(f(x))\Rightarrow f^(-1)(2)=(1)/(f(2))=(1)/(-2)\Rightarrow f^(-1)(2)=-(1)/(2)`

Therefore, the value for the function is f^-1(2) = -1/2 or

`f^(-1)(2)=-(1)/(2)`