Question

What is the domain of 4x-tanx

Answer 1

domain is R- {(2n+1)π/2}

Answer 2

The domain of 4x-tanx is as follows.

Given,

$f(x) = 4x - \tan x$

The domain of a function - a complete set of possible values of the independent variable for which the function is defined.

For example y = f(x), x is the domain of the function y.

For the given function, f(x) = 4x - tanx

The domain is given by,

$Domain: \left \{ x|x\neq \dfrac{\pi}{2}+\pi n \right \}\forall n$

For all values of n and for all the values of x, except for π/2 + πn, the given function is definable.