Let h(x)=1/square root x^2+5 find four ways to express h(x) as a composition of two fuctions. f and g such that h(x)=(f of g)(x)

Answer 1

Hi Kris L.,

For h(x) = 1/√(x² + 5) and f(g(x)) = h(x), four possible ways for f(x) and g(x) are:

f(x) = x and g(x) = 1/√(x² + 5);

f(x) = 1/x and g(x) = √(x² + 5);

f(x) = 1/√(x) and g(x) = x² + 5;

f(x) = √(x) and g(x) = 1/(x² + 5);

I hope this helps, Joe.