SOLUTION: I came out with a weird answer and I don't know if I did this correctly. Please help me! My teacher makes up problems for the homework so I don't have a chapter or book number.

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Question 82157: I came out with a weird answer and I don't know if I did this correctly. Please help me! My teacher makes up problems for the homework so I don't have a chapter or book number.
If F(x)=4x-2 and g(x)=x(2-x)^-1 Find:
a) g(f(g(4)))
b)f(g(x))
I did this and it just doesn't look right.
A)
g(x)=4(2-4)^-1
-2
4(-.5)
g=2
f(-2)=4(-2)-2
-8-2
-10
g(-10)=-10(2+10)^-1
12
1/12
-10(.083)
-.833
f(g(x))
f(g(x))=4(x(2-x)^-1)-2
4(x(1/2))-2
4(x/2-x)-2
(4x/2-x)-2
-8x/2-x
I don't know...help!
Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website!
your results look fine with the exception of the last step ... using more parentheses wouldn't hurt and some of the intermediate steps are a little shakey

the -2 in (4x/(2-x))-2 is a subtraction operation ... it does NOT lead to -8x/(2-x)