Question

F(x)=2x+3 and g(x) = x^2 - 8 find (f+g)(x)

Answer 1

To find (f+g)(x), simply add f(x) = 2x+3 and g(x) = x^2 - 8 to get the result (f+g)(x) = x^2 + 2x - 5.

Step-by-step explanation:

To find (f+g)(x), you add the functions f(x) and g(x) together. Given that f(x)=2x+3 and g(x)=x^2 - 8, you perform the addition by combining like terms.

Steps to find (f+g)(x):

1. Write down the expressions for f(x) and g(x): f(x) = 2x + 3 and g(x) = x^2 - 8.
2. Add f(x) and g(x): (f+g)(x) = (2x + 3) + (x^2 - 8).
3. Combine like terms: (f+g)(x) = x^2 + 2x - 5.

The result is (f+g)(x) = x^2 + 2x - 5.