Question

How do I find the range of f(x)=1/x for x ≥ 0?

Answer 1

Given: Function f(x)=1/x for x ≥ 0.

Required: Range of function.

Step-by-step explanation:

The function

`f(x)=(1)/(x)`

has domain

`(0,\infty)`

Range of the function is all the values taken by the function.

Now, here observe that f(x) can never be negative, as x is never negative.

Also, a fraction is zero only when its numerator is zero. Here numerator is constant, so f(x) is never zero.

and f(x) can take any positive value as domain is all positive values.

Hence Range is all positive real numbers that is

`(0,\infty)`

Final Answer: Range of the function is (0,∞)