Question

If f(x) = x+5 and g(x) = 2x−1 find (f−g)(x) _________

Answer 1

-x + 6 is the answer

Answer 2

(f−g)(x) = −x + 6.

Explanation:

Given:

• f(x) = x+5
• g(x) = 2x−1

To find:

• (f−g)(x)

Solution:

To find- (f−g)(x), we need to subtract g(x) from f(x).

`\sf \sf (f-g)(x) = f(x) -g(x) = (x+5) - (2x-1)`

`\sf = x+5 - 2x + 1`

`\sf = (1-2)x + (5+1)`

`\sf = -x + 6`

Therefore, (f−g)(x) = −x + 6.