Question

***WILL MEDAL*** Identify the domain of the combined function h(x) = f(x) · g(x), if the domain of f(x) is (4, 4.5], and the domain of g(x) is [4, 4.5).The domain of h(x) is:
[4, 4.5]
(4, 4.5)
[4, 4.5)
(4, 4.5]

Answer 1

@welshfella @paki

Answer 2

@mathmate

Answer 3

@ParthKohli @dan815

Answer 4

Hint: The domain of a composition of functions is the most restrictive of the component functions.
For example, f(x) has a domain of (4.0,4.5], this means that 4.0 is not in the domain of g(x), so it is impossible to compose function h(4) using f(4). Do the same check for g(x) and use the most restrictive of the domains.

Answer 5

Ohhhh i get it now! thank you!

Answer 6

You're welcome! :)