Question

What is (f+g)(x)?

f(x)=4x+6
g(x)= -5x
Write your answer as a polynomial or a rational function in simplest form.

Answer 1

(f + g)(x)= -x + 6.

Explanation:

The sum of two functions, f(x) and g(x), is given by (f + g)(x) = f(x) + g(x).

So, for f(x) = 4x + 6 and g(x) = -5x,

(f + g)(x) = f(x) + g(x) = (4x + 6) + (-5x) = -x + 6.

The result is a linear function and is already in the simplest form, so it cannot be further simplified.