Siven that f (x) = x2 - 7 and g (x) = 4 - x, find (f - g) (1), if it exists.

- 9

Step-by-step explanation:

Note that (f - g) (x) = f (x) - g (x)

f (x) - g (x)

= x² - 7 - (4 - x)

= x² - 7 - 4 + x

= x² + x - 11

Thus

(f - g) (1) ← substitute x = 1 into (f - g) (x)

= 1² + 1 - 11

= 1 + 1 - 11

= - 9