What is the domain of f(x)=sqrt(5x^2-7x-6) ?

The domain of f(x)=sqrt(5x^2-7x-6) is x = 2

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domain of f(x)=sqrt(5x^2-7x-6)

domain

f (x) = 5 x^{2} - 7 x - 6

x \leq - \frac{3}{5} or x \geq 2

Interval Notation

(- \infty, - \frac{3}{5}] \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - \frac{3}{5} or x \geq 2

The function domain

x \leq - \frac{3}{5} or x \geq 2

What is the domain of f(x)=sqrt(5x^2-7x-6) ?
The domain of f(x)=sqrt(5x^2-7x-6) is x<=-3/5 \lor x>= 2