# What is the domain and range of f(x)? `f(x) = (2x+3)/(x-1)` f(x) = (2x+3)/(x-1)

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The domain is the set of values of x (the input values) allowing the function to work properly. In this case `f(x) = (2x+3)/(x-1)`

x cannot be 1 `x!=1` ( as this would render the denominator as zero which is undefined.)

`therefore x:{x in RR; x!=1}`

The range is the set of y values (output) that works in the given function. in this case there are no restrictions placed on y and

`therefore y:{yinRR}`

**Ans: **

**Domain `{x in RR, x!=1}` **

**Range`{y in RR}` **