# Thread: finding f(x)

1. ## finding f(x)

f(-2)=-4 and f(5)=1. Find (f)x

I feel I'm thinking way to hard about this one!

2. f is a linear function? If it is so than $f(x)=ax+b$.

Then, $f(-2)=-4\Rightarrow -2a+b=-4$

$f(5)=1\Rightarrow 5a+b=1$

Now you have to solve the system to find a and b.