Answer:
Composition of Function
In this lesson, I will go over eight (8) worked examples to illustrate the process involved in function composition.
If we are given two functions, it is possible to create or generate a “new” function by composing one into the other. The step involved is similar when a function is being evaluated for a given value. For instance, evaluate the function below for x = 3x=3.
f(x)=4x^2-2x+2 or the function of f of x equals the product of 4 and x squared minus twice of x plus 5
It is obvious that I need to replace each xx by the given value then simplify.
evaluate f(x) with x=-3. we have f(-3)=4(-3)^2-2(-3)+5=4(9)+6+5=36+6+5=47. The final answer is f(-3)=47.
The key idea in function composition is that the input of the function is not a numerical value, instead, the input is also another function.
Explanation:
hope can help :) DJC
