Given f(x) = 2x^2+4 and g(x) = x+4, determine (f+g)(5)
I got 63, however I am not sure that this is correct. Can someone help me verify my answer? Thank you.
looks good
(f+g)(x) = 2x^2+4 + x+4 = 2x^2 + x + 8
so
(f+g)(5) = 2(25) + 5 + 8 = 63
Looks like you got it !!
To determine (f+g)(5), you need to add the functions f(x) and g(x) and then evaluate the sum at x=5.
First, let's find the sum of f(x) and g(x):
f(x) = 2x^2 + 4
g(x) = x + 4
To find (f+g)(x), substitute f(x) and g(x) into the sum of the functions:
(f+g)(x) = (2x^2 + 4) + (x + 4)
Now simplify the sum:
(f+g)(x) = 2x^2 + x + 8
To find (f+g)(5), substitute x=5 into the equation:
(f+g)(5) = 2(5)^2 + 5 + 8
= 2(25) + 5 + 8
= 50 + 5 + 8
= 63
So, your answer of 63 is indeed correct.