find the domain of the composite function f of g. f(x)=x^2+9;g(x)=�ãx-7
To find the domain of the composite function f(g(x)), we need to consider the possible input values for x that are allowed.
First, let's find the expression for f(g(x)) by substituting g(x) into f(x):
f(g(x)) = (g(x))^2 + 9
Substituting g(x) = x - 7:
f(g(x)) = (x - 7)^2 + 9
Now, we need to determine the domain of f(g(x)) by considering any restrictions on the input values x.
In this case, there are no restrictions on x. The expression (x - 7)^2 is defined for any real number, and adding 9 to it does not introduce any additional restrictions. Therefore, the domain of f(g(x)) is all real numbers (-∞, +∞).