Domain...

[Today123]

Suppose f is a function with domain (-11,-2] . Find the domain of the following function F(3x-2)

I did (-11/3+2,-2/3+2], but the answer is incorrect ?????

Any help would be appreciated

 

[stapel]

Suppose f is a function with domain (-11,-2] . Find the domain of the following function F(3x-2)

I did (-11/3+2,-2/3+2], but the answer is incorrectd

Since they didn't give you any relationship between f(x) and F(x), there is no way to know the solution. Sorry.

Please consult with your instructor regarding the missing information. When you reply with that, please show the steps and reasoning you used for arriving at your answer above. Thank you!

 

[HallsofIvy]

Suppose f is a function with domain (-11,-2] . Find the domain of the following function F(3x-2)

I did (-11/3+2,-2/3+2], but the answer is incorrect ?????

Any help would be appreciated

If you mean f(3x- 2) then:
Saying that the domain of f is (-11, -2] means that f(y) is defined if and only if \(\displaystyle -11< y\le -2\). To find the domain of f(3x-2), replace y with 3x- 2:
\(\displaystyle -11< 3x- 2\le -2\). Adding 2 to each part, \(\displaystyle -9< 3x\le 0\). Now divide each part by 3.

So your answer should be ((-11+2)/3, (-2+ 2)/3]. You did the operations in the wrong order!

 

[Today123]

yeah that what i meant f=F

thx alot guys