What is the domain of f(x)=sqrt(ln((5x-x^2)/4)) ?

The domain of f(x)=sqrt(ln((5x-x^2)/4)) is 1<= x<= 4

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domain of f(x)=sqrt(ln((5x-x^2)/4))

domain

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

1 \leq x \leq 4

Interval Notation

[1, 4]

Solution steps

Find non-negative values for radicals:

1 \leq x \leq 4

The function domain

1 \leq x \leq 4

(- 2, - 10), (- 10, - 4)

f (x) = 5 x^{2} + 7

f (y) = x + 7

10 x + 4 y = - 56

f (x) = \frac{3 x + 2}{4 + x}

What is the domain of f(x)=sqrt(ln((5x-x^2)/4)) ?
The domain of f(x)=sqrt(ln((5x-x^2)/4)) is 1<= x<= 4