Question

Find (f+g)(x) for the following functions. f(x) = 14x2 + 8x + 12 g(x) = 9x + 4

Answer 1

`\large\boxed{(f+g)(x)=14x^2+17x+16}`

Explanation:

`(f+g)(x)=f(x)+g(x)\\\\f(x)=14x^2+8x+12,\ g(x)=9x+4\\\\\text{Substitute:}\\\\(f+g)(x)=(14x^2+8x+12)+(9x+4)\qquad\text{combine like terms}\\\\(f+g)(x)=14x^2+(8x+9x)+(12+4)\\\\(f+g)(x)=14x^2+17x+16`

Answer 2

all work is shown and pictured