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

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

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

domain

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

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{7 x + 2}{x - 4}

f (x) = x + 2 + 1

2 x + 10

f (x) = 3 e^{x} + 5

tan (4 t)

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