What is the domain of f(x)=sqrt(-x+7) ?

The domain of f(x)=sqrt(-x+7) is x<= 7

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domain of f(x)=sqrt(-x+7)

domain

f (x) = - x + 7

x \leq 7

Interval Notation

(- \infty, 7]

Solution steps

Find non-negative values for radicals:

x \leq 7

The function domain

x \leq 7

- 4 x^{2} + 12

tan (x + \frac{π}{4})

f (x) = \frac{x + 9}{x ^{2} - 81}

(- 8, 8), (1, - 10)

f (x) = \frac{4 + x}{8 - x}