anonymous one year ago f(x) = 1/x + 5/x - 3. Find domain of the function algebraically.

1. lucaz

5/(x-3) ?

2. misty1212

set each denominator equal to zero and solve for $$x$$

3. anonymous

Im not sure if is $\Large f(x) = \frac{ 1 }{ x }+ \frac{ 5 }{ x }-3$ or $\Large f(x) = \frac{ 1 }{ x }+ \frac{ 5 }{ x-3 }$ in both cases, you have to see for what values of x the function will be undefined? is easily to see that with x=0 the function becomes undefined, and with x=3 is the same, so the domain of the function f(x) is $\mathbb{R} - \left \{0, 3\right \}$