What is the domain of f(x)=sqrt((x-3)^2-(x-8)^2) ?

The domain of f(x)=sqrt((x-3)^2-(x-8)^2) is x>= 11/2

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domain of f(x)=sqrt((x-3)^2-(x-8)^2)

domain

f (x) = (x - 3)^{2} - (x - 8)^{2}

x \geq \frac{11}{2}

Interval Notation

[\frac{11}{2}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{11}{2}

The function domain

x \geq \frac{11}{2}

18 x - 9 x^{2} - 9

f (x) = 5 x^{2} - 4 y^{2} - 20 = 0

f (x) = \frac{1 + x}{9 - x}

f (x) = e^{0.5 x} + 576 e^{- 0.5 x}

What is the domain of f(x)=sqrt((x-3)^2-(x-8)^2) ?
The domain of f(x)=sqrt((x-3)^2-(x-8)^2) is x>= 11/2