Answer to Question #294178 in Calculus for elena

Question

decompose $g(x)=5/(x-1)^3$

Answer 1

We are looking for two functions, f and h such that

$g(x)=f(h(x))$

Here, $g(x)=\frac{5}{(x-1)^3}$

We can take $f(x)=\frac{5}{x^3}\ \text{and}\ h(x)=(x-1)$ such that $g(x)=f(h(x))$$=\frac{5}{(x-1)^3}$

We could then decompose the function as

$f(x)=\frac{5}{x^3}\ \text{and}\ h(x)=(x-1)$