The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except of -3. What is the domain of (g*f)(x)?
1 Answer
Nov 25, 2017
all real numbers except 7 and -3
Explanation:
when you multiply two functions, what are we doing?
we are taking the f(x) value and multiply it by the g(x) value, where x must be the same. However both functions have restrictions, 7 and -3, so the product of the two functions, must have * both * restrictions.
Usually when having operations on functions, if the previous functions (
You can also visualize this by making two rational functions with different restricted values, then multiply them and see where the restricted axis would be.