Perform the requested operation or operations.
f(x) = 4 - 4x, g(x) = -9x + 4
Find (f + g)(x).
To find (f + g)(x), we need to add the functions f(x) and g(x) together.
Given:
f(x) = 4 - 4x
g(x) = -9x + 4
To find (f + g)(x), we will add the corresponding terms from f(x) and g(x).
(f + g)(x) = f(x) + g(x)
Let's add the terms:
(f + g)(x) = (4 - 4x) + (-9x + 4)
Now, we can simplify the expression by combining like terms:
(f + g)(x) = 4 - 4x - 9x + 4
This can be further simplified by combining the constant terms and the terms with x:
(f + g)(x) = (4 + 4) + (-4x - 9x)
(f + g)(x) = 8 - 13x
Therefore, (f + g)(x) = 8 - 13x.
To find (f + g)(x), we need to add the given functions f(x) and g(x) together.
So, let's add the functions:
(f + g)(x) = f(x) + g(x)
Given:
f(x) = 4 - 4x
g(x) = -9x + 4
Let's substitute these values into the equation:
(f + g)(x) = (4 - 4x) + (-9x + 4)
Now, simplify the expression by combining like terms:
(f + g)(x) = 4 - 4x - 9x + 4
Combine the like terms:
(f + g)(x) = -13x + 8
Therefore, (f + g)(x) is equal to -13x + 8.