Question

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

Answer 1

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.