Answer to Question #56379 in Algebra for Butch DeLoria

Question

18: Assume f(x) = -2x + 8 and g(x) = 3x , what is the value of (g o f)(3)?

A: 6
B: x + 8
C: -10
D: 23

19: None

20: 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^2 ; g(x) = x
-------
x + 1

B: f(x) = x + 1; g(x) = x^2

C: f(x) = x + 1; g(x) = 1
-----
x^2

D: f(x) = x ;g(x) = x
-------
x + 1