SOLUTION: f(x)= (x^2+3)/(5x^2-9). find two functions g and h, each simpler than f, such that f= goh

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Question 993941: f(x)= (x^2+3)/(5x^2-9). find two functions g and h, each simpler than f, such that f= goh
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
A simple possibility is to substitute x^2 with h.

f%28x%29=g%28h%28x%29%29=%28h%28x%29%2B3%29%2F%285%2Ah%28x%29-9%29, and this takes care by assigning h%28x%29=x%5E2.

To reach the outer function, g, the variable needs to be x, and not h(x). Accordingly, the definition for g should be g%28x%29=%28x%2B3%29%2F%285x-9%29.