What is the domain of f(x)=(1000+600x)/(10+0.6x) ?

The domain of f(x)=(1000+600x)/(10+0.6x) is x -50/3

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domain of f(x)=(1000+600x)/(10+0.6x)

domain

f (x) = \frac{1000 + 600 x}{10 + 0.6 x}

x < - \frac{50}{3} or x > - \frac{50}{3}

Interval Notation

(- \infty, - \frac{50}{3}) \cup (- \frac{50}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{50}{3}

The function domain

x < - \frac{50}{3} or x > - \frac{50}{3}

\frac{1}{x ^{2} - 3 x}

f (x) = \frac{x ^{3} + 1}{x}

x^{4} - 256

f (x) = \frac{lo g _{10} ( x )}{1 - x}

f (x) = \frac{1}{2 x ^{2} + x}

What is the domain of f(x)=(1000+600x)/(10+0.6x) ?
The domain of f(x)=(1000+600x)/(10+0.6x) is x<-50/3 \lor x>-50/3