How do you express the following function, f(x) as a composition of two functions f and g given $f (x) = \frac{x^{2}}{x^{2} + 4}$ $f(x)=x^2/(x^2+4)$ ?

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Answer 1 · 2016-01-22T04:44:44

Find two functions that could go into each other to form that composite function. Multiple answers possible.

ƒ(x) = h(g(x))

h = $\frac{x}{x + 4}$ $x/(x + 4)$

g = $x^{2}$ $x^2$

ƒ(x) = h(g(x))

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How do you express the following function, f(x) as a composition of two functions f and g given f(x)=x2x2+4f(x)=x^2/(x^2+4)?