Posted by **andy** on Thursday, September 23, 2010 at 2:06pm.

the equation is f(x) = (1/sq. root of 1-x^2)

1. f(x) is never zero.

2. 0 is in the domain of f

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

4. All positive real numbers are in the domain of f

5. 1 is in the domain of f

6. f(x) is never negative

7. f(x) is never positive.

which of these are true or false?

i think it is

1. T

2. T

3. T

4. T

5. T

6. F

7.T

- math -
**MathMate**, Thursday, September 23, 2010 at 4:12pm
To answer these questions, you need to find the answers to two questions:

1. what is the domain of f(x), and

2. what is the range of f(x).

To find the domain of f(x), you will observe what values of x will render f(x) undefined (±∞, etc) or complex (i.e. square-root of a negative number).

Armed with the results, you can then check them against your answers, the majority of which are, unfortunately, incorrect.

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