Given the functions f and g below, what is (f o g)(9)?
f(x) = x − 20
g(x) = (x − 1)2
look at
http://www.jiskha.com/display.cgi?id=1274824712
your question is almost identical
Can you explain how you did this
I will assume you meant
g(x) = (x-3)^2
(f o g)(11) = f(g(11))
= f(64)
= 64-20
= 44
To find (f o g)(9), we need to substitute the input 9 into the composite function f composed with g.
First, let's find g(9):
g(x) = (x - 1)^2
Substituting x = 9:
g(9) = (9 - 1)^2
g(9) = 8^2
g(9) = 64
Next, let's find f(g(9)):
f(x) = x - 20
Substituting x = 64 (g(9)):
f(g(9)) = 64 - 20
f(g(9)) = 44
Therefore, (f o g)(9) = 44.