## Question

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

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

## Answers

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)#

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