SOLUTION: I have tried so many different things on this problem, thinking through why they would be what they are and I still got them wrong. Please help me understand. This is what I put fo

Question 347657: I have tried so many different things on this problem, thinking through why they would be what they are and I still got them wrong. Please help me understand. This is what I put for each in order, it is what I was convinced the answer was. (F,T,T,F,F,F,F) Why are any of these wrong?
(1 pt) Let the function f be defined by f(x) = {1}/{sqrt{1-x^2}}. Indicate whether the following statements are True (T) or False (F). You must get all answers correct in order to receive credit.
___1. f(x) is never positive.
___2. 1 is in the domain of f
___3. 0 is in the domain of f
___4. f(x) is never negative.
___5. All negative real numbers are in the domain of f
___6. f(x) is never zero.
___7. All positive real numbers are in the domain of f

Found 2 solutions by edjones, jim_thompson5910:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
f(x)=1/sqrt(1-x^2)
.
2.
1-x^2>0 If it is zero then there is division by zero which is not allowed. If it is less than zero then the denominator is an imaginary number, also not allowed.
-x^2>-1
x^2<1

2 is F
.
The rest of your answers are correct.
.
Ed
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
1. f(x) is never positive.

This is false since is always nonnegative.
--------------------------------
2. 1 is in the domain of f
This is false since x=1 makes the denominator equal to zero.

--------------------------------
3. 0 is in the domain of f

This is true since the input x=0 yields a real number output.
--------------------------------
4. f(x) is never negative.

This is true since is always nonnegative.
--------------------------------

5. All negative real numbers are in the domain of f

False. The domain is . So clearly, a number like is NOT in the domain.
--------------------------------
6. f(x) is never zero.

This is true as the numerator will never equal zero.

--------------------------------
7. All positive real numbers are in the domain of f

False. Again, the domain is

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
RELATED QUESTIONS
Dear math teacher, I am having difficulites solving the following math problem:... (answered by stanbon,jim_thompson5910)
Bobby and Susie and working on a math problem. When they get done, they like to compare... (answered by josgarithmetic)
Please help me to solve this question: 9 + ? x 3/8 = 15 I tried to work out what ?... (answered by MathTherapy)
Please help me solve this radical equation. I have tried different things but just can't... (answered by stanbon,checkley71,askmemath)
Ok, so i have this problem. 2 planes are in different towns, they are 1220 km apart and... (answered by scott8148)
Okay, here goes another easy one that I can't solve: Printer A can print a report in 3... (answered by amnd)
How would I solve this problem: “A bag contains 4 red, 6 white and 9 blue marbles. How... (answered by greenestamps,math_tutor2020)
I have tried these questions and this is what I have got so far but I am lost and totally (answered by Fombitz)
For a triangle with a perimeter of 12 and an area of 7 what are the lengths of the... (answered by jim_thompson5910)