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

Question

Mathematics

Donavan

12 March, 21:29

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

+3

Answers (1)

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Kaleigh Garrett · Answer 1

- 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