Given f(x) = 4x + 13 and g(x) = 10x − 2, solve for (f + g)(x) and select the correct answer below.
(f + g)(x) = 14x + 15
(f + g)(x) = 14x + 11
(f + g)(x) = 6x + 11
(f + g)(x) = 6x + 15
is it b pls help me
correct.
To find (f + g)(x), we need to add the functions f(x) and g(x) together.
f(x) = 4x + 13
g(x) = 10x - 2
Adding these two functions, we get:
(f + g)(x) = (4x + 13) + (10x - 2)
Combining like terms, we have:
(f + g)(x) = 4x + 10x + 13 - 2
Simplifying further, we get:
(f + g)(x) = 14x + 11
So, the correct answer is:
(f + g)(x) = 14x + 11
Therefore, the correct choice is (b).
To solve for (f + g)(x), you need to add the given functions f(x) and g(x) together.
First, let's write the expression for (f + g)(x):
(f + g)(x) = f(x) + g(x)
Substituting the given functions into the expression:
(f + g)(x) = (4x + 13) + (10x - 2)
Now, simplify the expression by combining like terms:
(f + g)(x) = 4x + 13 + 10x - 2
(f + g)(x) = (4x + 10x) + (13 - 2)
(f + g)(x) = 14x + 11
Therefore, the correct answer is (f + g)(x) = 14x + 11. So, the option (b) is correct.