Question

What are the domain and range of the function y=2√3x+4 -5

Answer 1

you're having trouble with these arent you? :P
its pretty easy once you get the hang of it.
for this domain can you do this same thing i showed you the last question?
set it up like so
\[3x+4\ge0\]

Answer 2

3x+4≥0
-4 -4
3x≥-4
3 3
x≥-1.33333

Answer 3

Since we will use for finding the range it is simplier to keep it as \[\frac{ -4 }{ 3 }\]

Answer 4

I'm just not good at setting up the first part. ok

Answer 5

thanks.

Answer 6

alright :) now simply plug in -4/3 for x in the equation to find the range

Answer 7

-5

Answer 8

yes! good job. that is the range :)

Answer 9

OK. Thank you so much!

Answer 10

Could you help me with this problem?
When will the dependent variable in the equation y=√x+4 -3 equal or exceed 4?

Answer 11

x is often referred to as the independent variable, and y is referred to as the dependent variable. This is because y is a function of x.
Now, domain is all the x-values, and the range is all the y-values.
So I assume it is asking for when the range will equal or exceed 4.
One second, ill set it up for you.

Answer 12

\[\sqrt{x+4}-3=4\]
\[\sqrt{x+4}=7\]
now just solve the equation :) i did the first two steps for you.

Answer 13

whoops that should be \[\ge \]

Answer 14

x ≥ 53 ?

Answer 15

uh oh. you must've missed a step. lets go over it. \[\sqrt{x+4}=7\]
Alright, how do you get rid of a radical?

Answer 16

( )^2

Answer 17

yep! square both sides.

Answer 18

(x+4)^2= x+4
(7)^2=49

Answer 19

remember you are aiming to get x by itself!

Answer 20

x^2

Answer 21

x+4=49

Answer 22

-4 -4
x=45

Answer 23

x ≥ 45

Answer 24

yep! do you understand why? i did keep forgetting that greater than/equal to sign, my bad.

Answer 25

Ya, I understand now. Thank you for getting me started and helping me through it!! That's alright, I knew what you were saying.

Answer 26

yay :) my pleasure. I love these kinds of problems. good luck!