Question

For the functions f(x) = -2x^2 - 3 and g(x) = -7x^2, find (f-g)(x) and (f-g)(-4).

a) (f-g)(x) = 5x^2 - 3, (f-g)(-4) = 77
b) (f-g)(x) = -5x^2 + 3, (f-g)(-4) = -77
c) (f-g)(x) = 5x^2 - 3, (f-g)(-4) = -77
d) (f-g)(x) = -5x^2 + 3, (f-g)(-4) = 77

Answer 1

To find (f-g)(x), subtract the two functions f(x) and g(x) and simplify the expression to get (f-g)(x) = 5x^2 - 3. For (f-g)(-4), substitute x = -4 in the expression to get (f-g)(-4) = 77.

Step-by-step explanation:

To find (f-g)(x), we subtract the two functions f(x) and g(x). So, (f-g)(x) = (-2x^2 - 3) - (-7x^2). Simplifying further, we get (f-g)(x) = 5x^2 - 3.

To find (f-g)(-4), we substitute x = -4 in the expression (f-g)(x) = 5x^2 - 3. Therefore, (f-g)(-4) = 5(-4)^2 - 3 = 77.