How do you find the domain of #g(x)=4sqrt(-3x+7.5)#?

1 Answer
Apr 5, 2018

Answer:

#x leq 2.5#

Explanation:

The domain is the set of values that x can have for the function to be defined.

That being said, the number inside the radical must be greater than or equal to zero, otherwise we'll get a complex number, which I'm assuming you might not want.

This gives us the equation #-3x+7.5 geq 0#
Rearranging this a bit we get

#-3x geq -7.5#

#x leq {-7.5}/-3#. (flip the inequality sign since we're dividing by a negative number)

#x leq 2.5#