F X X 2 What Is G X 1 5

The answer is 4x 2 20x 26 this is a composition of functions f x 2x 5 g x x 2 1 g f x g 2x 5 2x 5 2 1 4x 2 20x 25 1 4x 2 20x 26 f g x f x 2 1 2 x 2 1 5 2x 2 2 5 2x 2 3 g f x f g x precalculus.

F x x 2 what is g x 1 5. X u 2. G u 3u 6 1. Simplify as much as possible and state the domain. The easiest way to do this is rewrite g x replacing all x s with a blank set of parenthesis like this g f x 2 now place the function f x into the parenthesis.

Composite function a composite function is a function which is made by combining two or more than two functions. G x 3x 5. Start by substituting u x 2. G u 3 u 2 1.

Let f x 1 x 2 and g x x 1 x. We have the function g with a single variable. 8 9 note 4 the domain and codomain are not always explicitly given when a function is defined and without some possibly difficult computation one might only know that the domain is contained in a larger set. G u 3u 5.

U x 2. The tricky part is rewriting g x 2 as g x instead. So the question becomes much simpler. More formally f g if f x g x for all x x where f x y and g x y.

Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor. Solve your math problems using our free math solver with step by step solutions. G f x x 3 2. Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor.

G x 3x 5. Find fog x and gof x. So we could replace it back to x.