Given that f(x) = x + 3 and g(x)=x²-x, find (f + g)( − 4), if it exists.
To find (f + g)(-4), we need to find the sum of the functions f(x) and g(x) when x is -4.
First, let's find f(-4):
f(x) = x + 3
f(-4) = -4 + 3 = -1
Now, let's find g(-4):
g(x) = x² - x
g(-4) = (-4)² - (-4) = 16 + 4 = 20
Next, let's find (f + g)(-4) by summing f(-4) and g(-4):
(f + g)(-4) = f(-4) + g(-4)
(f + g)(-4) = -1 + 20
(f + g)(-4) = 19
Therefore, (f + g)(-4) = 19.