How do you find the domain of #f(x) = sqrt(7x + 2)#?

Domain: #{x|x>=-2/7}# or Domain:#[-2/7,oo)#

Explanation:

We know that the we cannot find a real solution to the #sqrt# of a negative number. This lets me know that #7x+2>=0#.

Solve:

#7x+2>=0#

#7x>=-2# (Subtract 2 from both sides.)

#x>=-2/7# (Divide both sides by 7.)

This tells us that we can only use x's#>=-2/7# in our domain.

Domain: #{x|x>=-2/7}# or Domain:#[-2/7,oo)#