SOLUTION: Find functions f and g so that the composition of f and g is H. H(x) = |4 - 3x^2| Possible answer: a. f(x) = x2 ; g(x) = 4 - 3|x| b. f(x) = 4

SOLUTION: Find functions f and g so that the composition of f and g is H. H(x) = |4 - 3x^2| Possible answer: a. f(x) = x2 ; g(x) = 4 - 3|x| b. f(x) = 4 - 3|x|; g(x) = x2

Question 1046483: Find functions f and g so that the composition of f and g is H.
H(x) = |4 - 3x^2|
Possible answer:
a. f(x) = x2 ; g(x) = 4 - 3|x|
b. f(x) = 4 - 3|x|; g(x) = x2
c. f(x) = |x|; g(x) = 4 - 3x2
d. f(x) = 4 - 3x2 ; g(x) = |x|
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
c. looks like a perfect choice, which would be f(g(x)). Not correct if you meant for the 3x2 to be equivalent to 6x. You showed that you DO know to use the hat symbol to show exponentiation. If you made this same mistake writing choice d, then choice d. will also work as g(f(x)).
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