please help don't understand this...Assume f(x) = 2x + 8 and g(x) = 5. What is the value of (f + g)(3)?
(f+g)(x) = f(x) + g(x)
= (2x+8) + (5) = 2x+13
(f+g)(3) = 2*3 + 13 = 19
To find the value of (f + g)(3), we need to first calculate the individual values of f(3) and g(3), and then add them together.
Given that f(x) = 2x + 8, we can find f(3) by substituting 3 for x:
f(3) = 2(3) + 8
f(3) = 6 + 8
f(3) = 14
Next, we're given that g(x) = 5. Since g(x) is a constant function that does not depend on x, g(3) will always be 5:
g(3) = 5
Finally, we can find (f + g)(3) by adding f(3) and g(3) together:
(f + g)(3) = f(3) + g(3)
(f + g)(3) = 14 + 5
(f + g)(3) = 19
Therefore, the value of (f + g)(3) is 19.