Question

TRUE OR FALSE: let f(x)=tan^-1x. then the domain of f(x) is all real numbers and the range is [0, pi]

Answer 1

False, its (-pi/2, pi/2)

Explanation:

APie

Answer 2

The given answer is FALSE

Explanation:

`\text{The function is given to be }\tan^(-1)x`

Domain : The domain of a function is the set of values for which the function's value is real and defined.

So, The domain of the given function will be all real numbers

Interval Notation : -∞ < x < +∞

Range : The set of values of the dependent variable for which the function is defined.

The basic arctan function is only defined for :

`((-\pi)/(2),(\pi)/(2))`

So, The range of the given function is :

`\bf ((-\pi)/(2),(\pi)/(2))`

Therefore, The given answer is FALSE