a) g(f(x))
This is g(1/1-x) because you sub in f(x) into the g function.
With me so far???
Since g(x)=1-x, sub 1/1-x in for the x in 1-x
the function now is 1-(1/1-x)
which is (1-x)-1
which is -x
I think that's it...
Hope that helps!
My teacher assigned some work from the textbook and I'm not really understanding it. He told us to think of composite functions as a "machine," where there are inputs and outputs of each function.
The question I'm having trouble with is:
If f(x) = 1/(1-x) and g(x) = 1-x, determine:
a. g(f(x)) and b. f(g(x)).
Are there any specific methods to doing these problems? The exemplars aren't really helping very much. :|
Much thanks in advance!
a) g(f(x))
This is g(1/1-x) because you sub in f(x) into the g function.
With me so far???
Since g(x)=1-x, sub 1/1-x in for the x in 1-x
the function now is 1-(1/1-x)
which is (1-x)-1
which is -x
I think that's it...
Hope that helps!