Step 1 :The function \(f(x)=-5x+2\) is a linear function. To find \(f(-2)\), we substitute \(x\) with \(-2\) in the function.
Step 2 :After substituting \(x\) with \(-2\) in the function \(f(x)=-5x+2\), we get \(f(-2)=12\).
Step 3 :Final Answer: \(\boxed{12}\)