Question

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

Answer 1

Answer:

$(f-g)(x)$$=6$

Step-by-step 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)$$=6$