Answer:
-x²+4x+6
Explanation:
For this case. we are given two functions of the form y1=f(x)
where f(x) = 4x+1 and y2= g(x), whre g(x) = x²-5. We must find the subtraction (f-g)(x). So, by definition of operation of functions
we have to:
(f-g)(x) =f (x)-g(x)
So, we have:
(f-g)(x)= 4x+1 - (x²-5)
Knowing that -*+=1 and -*- =+
(f-g)(x) = 4x+1 - x²-5
(f-g)(x) = -x²+4x+6