Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2f(x) = -3x^2\newlineg(x)=2x23xg(x) = -2x^2 - 3x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

Full solution

Q. What is (f+g)(x)(f + g)(x)?\newlinef(x)=3x2f(x) = -3x^2\newlineg(x)=2x23xg(x) = -2x^2 - 3x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Given Functions: We have:\newlinef(x)=3x2f(x) = -3x^2\newlineg(x)=2x23xg(x) = -2x^2 - 3x\newlineNow, let's add these two functions to find (f+g)(x)(f + g)(x).\newline(f+g)(x)=f(x)+g(x)(f + g)(x) = f(x) + g(x)\newline(f+g)(x)=(3x2)+(2x23x)(f + g)(x) = (-3x^2) + (-2x^2 - 3x)
  2. Addition of Functions: Combine like terms to simplify the expression.\newline(f+g)(x)=3x22x23x(f + g)(x) = -3x^2 - 2x^2 - 3x\newline(f+g)(x)=5x23x(f + g)(x) = -5x^2 - 3x\newlineThis is the simplified form of the polynomial.

More problems from Add and subtract functions