What is the domain of f(x)=(7x-1/2)/(3x^2-2x+6) ?

The domain of f(x)=(7x-1/2)/(3x^2-2x+6) is -infinity <x<infinity

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domain of f(x)=(7x-1/2)/(3x^2-2x+6)

domain

f (x) = \frac{7 x - \frac{1}{2}}{3 x ^{2} - 2 x + 6}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

f (x) = \frac{18 x + 24}{x ^{2} - 15 x + 6}

y = \frac{( - 4 x - 2 )}{( 2 x - 1 )}

y = \frac{3 x ^{2}}{x ^{3} - 3 ^{2}}

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

x^{2} + x + 1 - x^{2} - x - 12 + 2

What is the domain of f(x)=(7x-1/2)/(3x^2-2x+6) ?
The domain of f(x)=(7x-1/2)/(3x^2-2x+6) is -infinity <x<infinity