1.) Find (f + g)(x) when f(x) = x + 2 and g(x) = x - 2.

2.) Find (f - g)(x) if f(x) = 2x - 5 and g(x) = 4.

3.) Given f(x) = 4 and g(x) = 2x - 1, find (f - g)(x).

(f+g)(x) = x + x + 2 - 2 = 2 x

do the others the same way

To find (f + g)(x), we need to add the functions f(x) and g(x).

1.) Find (f + g)(x) when f(x) = x + 2 and g(x) = x - 2:

Start by substituting the given functions into the equation for (f + g)(x):

(f + g)(x) = f(x) + g(x)

Now substitute the functions:

(f + g)(x) = (x + 2) + (x - 2)

Next, simplify the expression:

(f + g)(x) = x + 2 + x - 2

Combining like terms:

(f + g)(x) = 2x

So, (f + g)(x) = 2x.

2.) Find (f - g)(x) if f(x) = 2x - 5 and g(x) = 4:

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

Start by substituting the given functions into the equation for (f - g)(x):

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

Now substitute the functions:

(f - g)(x) = (2x - 5) - 4

Next, simplify the expression:

(f - g)(x) = 2x - 5 - 4

Combining like terms:

(f - g)(x) = 2x - 9

So, (f - g)(x) = 2x - 9.

3.) Given f(x) = 4 and g(x) = 2x - 1, find (f - g)(x):

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

Start by substituting the given functions into the equation for (f - g)(x):

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

Now substitute the functions:

(f - g)(x) = 4 - (2x - 1)

Next, simplify the expression:

(f - g)(x) = 4 - 2x + 1

Combining like terms:

(f - g)(x) = -2x + 5

So, (f - g)(x) = -2x + 5.