D(x)=x^2+2x
h(x)=7
h(D)=
As I noted before, I don't like your notation
Does h(D) mean h(D(x)) or (h◦D)(x) ?
Those are standard notation .
I mean h(D(x)). Sorry about that. That's how my teacher wrote it.
would the answer be: 7^2+2(7) = 49+14 = 63?
no, since h(x) = 7, it means no matter what you put in for x, the answer will be 7
so h(D(x)) = 7
To find h(D), you need to substitute the function D(x) into h(x). The function D(x) is given as D(x) = x^2 + 2x.
Replace every occurrence of x in the function h(x) with D(x):
h(D) = 7 becomes h(x^2 + 2x) = 7.
Now, we need to simplify this expression further:
h(x^2 + 2x) = 7.
Since h(x) is a constant function with h(x) = 7, the expression remains the same and we have:
h(D) = 7.
Therefore, h(D) = 7.