SOLUTION: I am totally lost on this question ... Given f(x)x-3 and g(x)= x-2 find f*g(x)

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Question 241965: I am totally lost on this question ... Given f(x)x-3 and g(x)= x-2 find f*g(x)
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
f(g(x)) means f of (g of x)

f and g are the names of the functions.

x is the name of the variable the functions are working on.

you first find g(x) and then you find f(g(x))

in your problem:

f(x) = x-3

g(x) = x-2

if you want f(g(x)), you do the following;

first you find g(x).

That equals x-2.

Then you find f(g(x)) by replacing g(x) with (x-2) because they are equal.

f(g(x)) becomes f(x-2).

next you take your equation of f(x) = x-3 and you replace x with g(x).

your equation becomes:

f(g(x)) = f(x-2) = (x-2)-3

then you simplify the equation to get:

f(g(x)) = x-5