How do you find (f @ g)(x) and its domain, (g @ f)(x) and its domain, (f @ g)(-2) and (g @ f)(-2) of the following problem f(x) = x+ 2, g(x) = 2x^2?
1 Answer
Jan 17, 2018
See the explanation below...
Explanation:
By the composition
To find
The domain of a function is the set of values for which the function is real and defined.
This above evaluated function has no undefined points. The domain is
Similarly, we have:
Simplify:
Domain:
Now, in the same manner, find
Simplify:
And:
Simplify: