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

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

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

domain

g (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}

f (x) = 16 - x^{2}

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

(- 5.1) (- 5.5)

- x^{2} - 9 x - 20

f (x) = x + 5

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