If f(x)=6x^3+5x, g(x)=3x^2+5,and h(x)=9x^2-8 what is the degree of f(g(h( awer choices are a.2 b.3 3.7 4.12

To find f(g(h(x))), we need to find g(h(x)) first. To do that we are going to evaluate the function g(x) at h(x):
We know that  and 





Now that we know that , to find  we are going to evaluate  at 





Since the degree of a polynomial is the highest degree of its monomials, we can conclude that the degree of f(g(h(x))) is 12