Question

Let f(x) = x? - 6x + 8 and g (x) = x - 5.
Find (f + g) (x) and (f - g) (x) .

Answer 1

Answer:

(f + g)(x) = x^2 - 5x + 3.

(f - g)(x) = x^2 - 7x + 13

Step by step explanation:

To find (f + g)(x), we add the functions f(x) and g(x) together:

(f + g)(x) = f(x) + g(x) = (x^2 - 6x + 8) + (x - 5)

Combining like terms, we get:

(f + g)(x) = x^2 - 5x + 3

Therefore, (f + g)(x) = x^2 - 5x + 3.

To find (f - g)(x), we subtract the function g(x) from f(x):

(f - g)(x) = f(x) - g(x) = (x^2 - 6x + 8) - (x - 5)

Again, combining like terms, we get:

(f - g)(x) = x^2 - 7x + 13

Therefore, (f - g)(x) = x^2 - 7x + 13.