168k views
3 votes
Let f(x) =Sqrt 9x and g(x) =x+7 whats the smallest number that's in the domain of f ° g

User Hvtilborg
by
5.3k points

2 Answers

5 votes

Answer: the correct answer is 7

thank me later

Explanation:

User Ajit Goel
by
4.8k points
3 votes

For this case we have the following functions:


f (x) = \sqrt {9x}\\g (x) = (x + 7)

We must find
(f * g) (x):

By definition of composition of functions we have to:


(f * g) (x) = f (x) * g (x)

So:


(f * g) (x) = \sqrt {9x} (x + 7)

The domain of the function is given by all the values for which the function is defined. The function is defined for all real numbers greater than or equal to 0. That is:

[0, ∞)

Answer:

The zero is the smallest value of the domain

User Kumar Vivek Mitra
by
5.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.