Question

F(x) = x ^ 2 - 4x and g(x) = 9 - x Find (f - g)(x) and (f - g)(8)

Answer 1

(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!