If f(x)=x+3 and g(x)=x-3 find (f-g)(x)

Question

asked Jun 15, 2021 140k views

1 Answer

Bikram · Answer 1 · 2021-06-21T22:04:03+0000

Answer:

(f-g)(x)

Explanation:

Given:

$f(x)=x+3\\g(x)=x-3$

To find
(f-g)(x)

Solution:

In order to find
(f-g)(x) we will subtract the function
g(x) from
f(x)

So, we have:

(f-g)(x)
=f(x)-g(x)

Plugging in
f(x) and
g(x) in the above combinations of functions.

(f-g)(x)
=(x+3)-(x-3)

Simplifying by removing the parenthesis and reversing the signs of the terms in the parenthesis after the negative.

(f-g)(x)
=x+3-x+3

Combining like terms.

(f-g)(x)
=x-x+3+3

∴
(f-g)(x)