What is the domain of f(x)=sqrt(7-2x)+2 ?

The domain of f(x)=sqrt(7-2x)+2 is x<= 7/2

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domain of f(x)=sqrt(7-2x)+2

domain

f (x) = 7 - 2 x + 2

x \leq \frac{7}{2}

Interval Notation

(- \infty, \frac{7}{2}]

Solution steps

Find non-negative values for radicals:

x \leq \frac{7}{2}

The function domain

x \leq \frac{7}{2}

\frac{x ^{2} + 4 x - 5}{x - 1}

\frac{x ^{2} + 4 x - 5}{x ^{2} + x - 2}

f (x) = x + 7 - 1

f (x) = x^{2} - 2 x - 35

- x^{2} + 2 x - 10

What is the domain of f(x)=sqrt(7-2x)+2 ?
The domain of f(x)=sqrt(7-2x)+2 is x<= 7/2