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!