## Calculus Tutorial

*finding domain of a complex function*

#### Intro

If in a problem you are required to find the domain of a function which is the sum of two or more functions then the domain of the combined function will be the union of domains of individual function.

#### Sample Problem

Find the domain of following function-

sin(x) + 1/(e^x-1)

#### Solution

To begin with this question we find the domain of sin(x) and 1/(e^x-1) individually and then take there union to get the domain of combined function..

domain of sin(x) is all real numbers

domain of 1/(e^x-1) is R-{0}

so the domain of combined function is R-{0} i.e the range which satisfies the domain of both the functions.

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