Question

f as a function of x is equal to the square root of quantity 4 x plus 6, g as a function of x is equal to the square root of quantity 4 x minus 6
Find (f + g)(x). (5 points)

Answer 1

f(x)=âš(4x+6) g(x)=âš(4x-6) This is what we are given to work with, originally. Now, for the next part, we are asked to add the functions f(x) and g(x) together - and this is just what you do! You add the functions together, and then combine like terms. (f+g)(x)=âš(4x+6)+âš(4x-6) --> âš(8x) + 6 - 6 :: and the 6's cancel each other, while the root 4x's add... and you have... (f+g)(x)=âš(8x) Thank you very much.