What is the domain of f(x)=sqrt(2-4x)-3 ?

The domain of f(x)=sqrt(2-4x)-3 is x<= 1/2

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domain of f(x)=sqrt(2-4x)-3

domain

f (x) = 2 - 4 x - 3

x \leq \frac{1}{2}

Interval Notation

(- \infty, \frac{1}{2}]

Solution steps

Find non-negative values for radicals:

x \leq \frac{1}{2}

The function domain

x \leq \frac{1}{2}

f (x) = 2 x^{2} - 3

f (x) = 2 x + 12

f (x) = - 2 x + 3

f (x) = (2)

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

What is the domain of f(x)=sqrt(2-4x)-3 ?
The domain of f(x)=sqrt(2-4x)-3 is x<= 1/2