Question

F(x)=4x^2+1 and g(x)=x^2-5 fins (f+g)(x)

Answer 1

Hi there!

$(f +g )(x) = f(x) +g (x)$
In other words: to find (f + g)(x) we must add up the functions f(x) and g(x). Substitute both functions into the formula.

$(f + g)(x) =( 4x {}^{2} + 1) + ( {x}^{2} - 5)$
Remove the parenthesis, since they don't have a function in this situation.

$(f + g)(x) =4x {}^{2} + 1 + {x}^{2} - 5$
Rearrange the expression in order to collect terms later.

$(f + g)(x) = 4x {}^{2} + {x}^{2} + 1 - 5$
And finally collect the terms.

$(f + g)(x) = 5x {}^{2} - 4$
~ Hope this helps you!

Answer 2

$(f+g)(x)=4x^2+1+x^2-5=5x^2-4$