let g(x)=3x and h(x)=x^2+3
find (g∘h)(0) and simplify.
To find (g∘h)(0), we need to first evaluate h(0) and then substitute this value into g(x).
Given that h(x) = x^2 + 3, we can find h(0) by substituting x = 0:
h(0) = (0)^2 + 3 = 0 + 3 = 3.
Now, we substitute h(0) = 3 into g(x) = 3x:
(g∘h)(0) = g(h(0)) = g(3) = 3(3) = 9.
Therefore, (g∘h)(0) simplifies to 9.