Question

Assume f(x) = 3 - x. Find f --(-1).-441/3Please help me I don’t know if my answer is correct

Answer 1

The first step is to find the inverse of the given function.

To do it, you need to solve the given equation for x, it means isolate x to one of the sides of the equal sign, this way:

`\begin{gathered} f(x)=3-x \\ f(x)+x=3 \\ x=3-f(x) \end{gathered}`

Now, change x for f^-1(x) and f(x) for x:

`\begin{gathered} x=3-f(x) \\ f^(-1)(x)=3-x \end{gathered}`

Now, find the value of the inverse function when x=-1. To do it, replace every x in the equation for -1:

`\begin{gathered} f^(-1)(-1)=3-(-1) \\ f^(-1)(-1)=3+1 \\ f^(-1)(-1)=4 \end{gathered}`

The answer is 4.