Math Problem Statement

Diketahui F(x) = 2x^3 - 3x^2 + x - 6, g(x) = x^2 - 4x + 5, dan h(x) = x + 3. Tentukan (F + g)(x) dan (g × h)(x).

Solution

The problem given in the image involves determining two operations with functions F(x)F(x), g(x)g(x), and h(x)h(x). Here's a breakdown:

Given Functions

  1. F(x)=2x3−3x2+x−6F(x) = 2x^3 - 3x^2 + x - 6
  2. (

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Polynomial functions
Addition of functions
Multiplication of functions

Formulas

(F + g)(x) = F(x) + g(x)
(g × h)(x) = g(x) × h(x)

Theorems

-

Suitable Grade Level

Grades 10-12

Related Recommendation

Solving Polynomial Multiplication: [f(x) + g(x)] × h(x)

Operations on Polynomial Functions: Multiplication, Division, and Addition

Operations on Functions: Addition, Subtraction, Multiplication, and Division

Function Operations: Polynomial Addition, Subtraction, Multiplication, and Division

Polynomial Function Operations: Multiplication and Addition of f(x), g(x), h(x), and v(x)