Stephanie M. answered • 05/20/15
Tutor
5.0
(890)
Private Tutor - English, Mathematics, and Study Skills
I'll assume your slashes mean absolute value.
For composed functions like this, we'll work from the inside out. First, find g(-3) by plugging x = -3 into the function g(x):
g(x) = |x - 3|
g(-3) = |-3 - 3|
g(-3) = |-6|
g(-3) = 6
Now we can replace g(-3) with 6 in the function composition to get f(g(-3)) = f(6). Find f(6) by plugging x = 6 into the function f(x):
f(x) = x + 3
f(6) = 6 + 3
f(6) = 9
So, f(g(-3)) = f(6) = 9.
David W.
PLZ remember that functions are often represented in the form y=f(x) use x to represent the input value and y to indicate the output value.
When a function is represented in the form f(g(x)), that means that the output of one function is the input to another function, as Stephanie has described so well.
In computer programming, this is called a "pipe" (short for pipeline), because if you already have a program that finds the biggest ten numbers in a very large list and another program that sorts any number of songs based on their rankings, you can use the first program to select the ten most popular songs out of the thousands (?) being played and make that result be the input to the sort program in order to produce the "top 10" list for this week. In fact, if you have a nicely selected library (of maybe 100 handy programs) you can "pipe" these together and together and together to solve almost any problem very quickly.
But please note! -- the x in the first equation is not the x in the second equation (neither is the y). But, I think you probably knew that.
Report
05/20/15
Asum F.
05/20/15