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Question 1012244: 3.15
For f(x)=9x and g(x)=x+9, find the following functions:
A. (fog)(x)=
B. (gof)(x)=
C. (fog)(3)=
D. (gof)(3)=
Answer by ikleyn(52879)   (Show Source):
You can put this solution on YOUR website! .
For f(x)=9x and g(x)=x+9, find the following functions:
A. (fog)(x)=
B. (gof)(x)=
C. (fog)(3)=
D. (gof)(3)=
------------------------------------------------
A. (fog)(x) = 9*(x+9) = 9x + 9.
How it is obtained?
Take f(x) = 9x and then substitute g(x) = x+9 instead of x into f(x).
B. (gof)(x) = 9*(x+9) = 9x + 9.
How it is obtained?
Take g(x) = x+9 and then substitute f(x) = 9x instead of x into g(x).
The resulting functions are identical in these cases.
This is OK.
C. and D. <-----> I will not calculate the values for you.
You can do it yourself.
Surely, the resulting numbers should be the same for C and D, because
the resulting functions are the same for A and B.
Good luck!
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