Asked by jill
find f o g (x) and g o f (x) when
f(x)=2x-9 and g(x)=x+9/2
f(x)=2x-9 and g(x)=x+9/2
Answers
Answered by
Reiny
I'll do one you do the other
f o g (x)
= f(g(x))
= f(x+9/2)
= 2(x + 9/2) - 9
= 2x + 9 - 9
= 2x
I worked on the assumption that you meant what you typed for g(x)
If, however, you meant g(x) = (x+9)/2 , you will have to make the appropriate changes.
The process will remain the same.
f o g (x)
= f(g(x))
= f(x+9/2)
= 2(x + 9/2) - 9
= 2x + 9 - 9
= 2x
I worked on the assumption that you meant what you typed for g(x)
If, however, you meant g(x) = (x+9)/2 , you will have to make the appropriate changes.
The process will remain the same.
Answered by
jill
thank you
that's what I got
that's what I got
Answered by
oobleck
I suspect that it was (x+9)/2
In that case, f and g are inverses, and f◦g = g◦f = x
In that case, f and g are inverses, and f◦g = g◦f = x
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