What is the domain of f(x)=3sqrt(7x-21)+sqrt(x-5) ?

The domain of f(x)=3sqrt(7x-21)+sqrt(x-5) is x>= 5

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domain of f(x)=3sqrt(7x-21)+sqrt(x-5)

domain

f (x) = 3 7 x - 21 + x - 5

x \geq 5

Interval Notation

[5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

The function domain

x \geq 5

y = \frac{t ^{2}}{t - 2}

f (x) = 2 x^{2} + x^{3}

f (x) = - x + 4 - 2

f (x) = \frac{x + 3}{x - 8}

5 + x

What is the domain of f(x)=3sqrt(7x-21)+sqrt(x-5) ?
The domain of f(x)=3sqrt(7x-21)+sqrt(x-5) is x>= 5