If f(x) = 2x2 + 3x and g(x) = x – 2, what is (f + g)(2)?

Question

I'm in high school and i really need some help math is so confusing to me

Answer 1

In algebra, f(2) means "What's y if x is replaced by 2?"

 

(f +g)(x) means "add f(x) + g(x) together", so here that would give: 2x² + 3x + (x - 2) = 2x² + 4x - 2

 

So (f +g)(2) means "Now replace x by 2, and get the answer", so that's 2(2)² + 4(2) - 2 = 14

 

Now you could have done f(2) + g(2) separately, which is: [2(2)² + 3(2)] + [2 - 2] = 14 - 0 = 14