Dada a função f(x) = ax + b e sabendo-se que f(3) = 5 e f(-2) = -5 calcule f(½)

Step-by-step explanation:

Given this function:

We need to find the value of:

This is really simple because the problem give us the following data:

Using this data we can write a 2x2 system of equations like this:

Let:

and

Our system will be:

We can solve this system using different methods, however I will use elimination method because I believe it is really simple. So:

Replacing into (1)

Now we found the values of and , our function is given by:

Let's verify it:

As you can see the function satisfies the data provided by the problem. So we can conclude that it is correct.

Finally, let's find for :

Hence: