SOLUTION: Let h(x)= (g o f)(x)= x^2 / x^2 + 1 Which of the following could be a possible decomposition of h(x)? a. f(x)= x; g(x)= x / x + 1 b. f(x)= x + 1; g(x)= 1 / x^2 c. f(x)= x^2;

Algebra ->  Functions -> SOLUTION: Let h(x)= (g o f)(x)= x^2 / x^2 + 1 Which of the following could be a possible decomposition of h(x)? a. f(x)= x; g(x)= x / x + 1 b. f(x)= x + 1; g(x)= 1 / x^2 c. f(x)= x^2;       Log On


   



Question 955562: Let h(x)= (g o f)(x)= x^2 / x^2 + 1
Which of the following could be a possible decomposition of h(x)?
a. f(x)= x; g(x)= x / x + 1
b. f(x)= x + 1; g(x)= 1 / x^2
c. f(x)= x^2; g(x)= x / x + 1
d. f(x)= x + 1; g(x)= x^2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let h(x)= (g o f)(x)= x^2 / (x^2 + 1)
Which of the following could be a possible decomposition of h(x)?
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h(x) involves:
1st squaring
2nd forming quotient of input + 1
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h(x) = g(f(x)) = g(x^2) = x^2/(x^2+1)
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Cheers,
Stan H.
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a. f(x)= x; g(x)= x / x + 1
b. f(x)= x + 1; g(x)= 1 / x^2
c. f(x)= x^2; g(x)= x / x + 1
d. f(x)= x + 1; g(x)= x^2