Type the difference of the given functions (f-g)(x).
F(x)=x^2+2x-6 and g(x)= x+5
F(x)-g(x) = x^2 + 2x - 6 - (x + 5) = x^2 + x - 11.
Use Quad. Formula: X = 2.85, and -3.85.
To find the difference of two functions, (f-g)(x), you need to subtract the second function, g(x), from the first function, f(x). In this case, we have f(x) = x^2 + 2x - 6 and g(x) = x + 5.
To calculate (f-g)(x), substitute the two functions into the equation (f-g)(x) = f(x) - g(x). Let's perform the substitution:
(f-g)(x) = f(x) - g(x)
= (x^2 + 2x - 6) - (x + 5)
To simplify this expression, distribute the negative sign to each term inside the parentheses:
(f-g)(x) = x^2 + 2x - 6 - x - 5
Now, combine like terms:
(f-g)(x) = x^2 + 2x - x - 6 - 5
= x^2 + x - 11
Therefore, the difference of the given functions (f-g)(x) is x^2 + x - 11.