Question

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

Answer 1

$\large \boxed{(f + g)(x) = f(x) + g(x)}$

Use the following property above to find the value. Substitute f(x) and g(x) in.

$\large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}$

Evaluate/Combine like terms.

$\large{2x + {x}^{2} - 5}$

This step is optional but it's the best to arrange the degree.

$\large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}$

Answer

• (f+g)(x) = x²+2x-5

Let me know if you have any doubts!