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

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

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

domain

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

\frac{x - 2}{2 x ^{2}}

3 x + 6

f (x) = \frac{2 x - 3}{12 x ^{2} + 5 x - 3}

\frac{x ^{2}}{sin ^{2} ( 6 x )}

y = x^{2} - 9

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