Question

For f(x)=2x + 1 and g(x)= x^2 - 7, find (f + g)(x)

Answer 1

The answer to the question

Answer 2

Answer:

    (f + g)(x) = x² + 2x - 6

Step-by-step explanation:

We have (f + g)(x) = f(x) + g(x)

f(x) = 2x + 1 and g(x) = x² - 7

Substituting

      (f + g)(x) = f(x) + g(x) =   2x + 1 + x² - 7 = x² + 2x +1 -7

       (f + g)(x) = x² + 2x - 6

So we have

    (f + g)(x) = x² + 2x - 6