Answer:
(f - g) (8) equals 31
Explanation:
To find (f - g)(x), we need to subtract the function g(x) from the function f(x).
Given:
f(x) = x^2 - 4x
g(x) = 9 - x
To find (f - g)(x), we substitute the expressions for f(x) and g(x) into the equation (f - g)(x) = f(x) - g(x):
(f - g)(x) = f(x) - g(x)
= (x^2 - 4x) - (9 - x)
Expanding the expression, we have:
(f - g)(x) = x^2 - 4x - 9 + x
Combining like terms, we get:
(f - g)(x) = x^2 - 3x - 9
Now, to find (f - g)(8), we substitute x = 8 into the expression (f - g)(x):
(f - g)(8) = 8^2 - 3(8) - 9
= 64 - 24 - 9
= 31
The answer is (f - g)(8) equals 31
correct me if im wrong, thx!