What is the domain of f(x)=(x-8)^2*sqrt((48-x)) ?

The domain of f(x)=(x-8)^2*sqrt((48-x)) is x<= 48

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domain of f(x)=(x-8)^2*sqrt((48-x))

domain

f (x) = (x - 8)^{2} \cdot (48 - x)

x \leq 48

Interval Notation

(- \infty, 48]

Solution steps

Find non-negative values for radicals:

x \leq 48

The function domain

x \leq 48

f (x) = \frac{- 5 x ^{2}}{( x - 9 ) ( x + 4 )}

y = \frac{4 x + 1}{2 x + 3} - \frac{3 x + 2}{5 x - 1}

\frac{( x ^{2} - 3 x + 2 )}{x ^{2} + x - 6}

\frac{( x - 3 ) ^{2}}{2}

g (x) = lo g_{10} (x - x^{2})

What is the domain of f(x)=(x-8)^2*sqrt((48-x)) ?
The domain of f(x)=(x-8)^2*sqrt((48-x)) is x<= 48