Question

F(x)=4x+1 and g(x)=x^2-5find(f-g)(x)

Answer 1

-x²+4x +6

Explanation:

Given f(x)=4x+1 and g(x)=x²-5

(f-g)(x) is derived by taking the difference of both functions

(f-g)(x) = f(x)-g(x)

(f-g)(x) = 4x+1 - (x²-5)

(f-g)(x) = 4x+1-x²+5

(f-g)(x) = -x²+4x +6

This gives the requires expression