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

User Sijav
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8.1k points

2 Answers

4 votes

Answer:

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

Explanation:

APie

User Hassaan Rabbani
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8.0k points
3 votes

Answer:

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

User Gdanko
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