How do you find the domain of the function $g(x)=7/(10-3x)$ ?

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Answer 1 · 2015-04-08T13:17:55

$g(x) = 7/(10-3x)$
is defined for all Real values of $x$ except $x=10/3$ (which would result in an attempt to divide by zero).

Therefore the domain of $g(x)$ is
$[-oo,10/3)uuu(10/3,+oo]$

That is the union of all values less that $10/3$ with all values greater than $10/3$

How do you find the domain of the function g(x)=7/(10-3x)g(x)=7/(10-3x)?