What is the domain of f(x)=log_{10}(2-x)+sqrt(x-3) ?

The domain of f(x)=log_{10}(2-x)+sqrt(x-3) is Undefined

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domain of f(x)=log_{10}(2-x)+sqrt(x-3)

domain

f (x) = lo g_{10} (2 - x) + x - 3

Undefined

Solution steps

Find non-negative values for radicals:

x \geq 3

Find positive values for logs:

x < 2

Undefined

g (x) = ln (x + 3)

x^{3} - 7 x - 6

\frac{x ^{3}}{3 - x}

y = 3 x - 1

\frac{x - 3}{x ^{3} - 64 x}

What is the domain of f(x)=log_{10}(2-x)+sqrt(x-3) ?
The domain of f(x)=log_{10}(2-x)+sqrt(x-3) is Undefined