Posted by Lucy on Wednesday, September 17, 2008 at 5:50pm.
I need help with this problem (composite functions):
If f(x) = 4x3 and h(x )= 4x^221, find a function g such that f(g(x)) = h.
I don't understand how we're supposed to combine the functions.
Oh, and the answer is supposed to be g(x) = x^2  (9/2).
Thanks!

Math (Grade 12)  bobpursley, Wednesday, September 17, 2008 at 5:55pm
I was reading, and got the answer in my head before I read your answer line.
It is easy.
f(x) is given. 4x3 YOu want 4x^221
so what times 4 will equal 4x^2? Ans x^2
Now what times 4 will equal 21 when you add 3? 4z3=21
4z=18
z=9/2
so g(x)=x^2 9/2

Math (Grade 12)  Ahmed, Wednesday, January 16, 2013 at 12:07pm
4 x 3 = 12
21 – 2 = 19
4 x 2 = 8
5 x 4 = 20
2 + 1 = 3
14 x 12 = 168
4 x 12 = 48
2 + 4 = 6
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