# How do you find the domain and range of f(x)= (3x-4) / (1+2x)?

##### 1 Answer
Dec 24, 2016

Domain is any real value except $x = - \frac{1}{2}$. Range is any real value.

#### Explanation:

$f \left(x\right) = \frac{3 x - 4}{1 + 2 x}$. For domain denominator must not be zero.

Domain (values of x) is any real value except $1 + 2 x = 0 \mathmr{and} 2 x = - 1 \mathmr{and} x = - \frac{1}{2}$

Range (values of f(x)) is any real value. graph{(3x-4)/(1+2x) [-40, 40, -20, 20]} [Ans]