What is the domain of f(x)=(\sqrt[4]{28-7x})/x ?

The domain of f(x)=(\sqrt[4]{28-7x})/x is x<0\lor 0<x<= 4

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domain of f(x)=(\sqrt[4]{28-7x})/x

domain

x < 0 or 0 < x \leq 4

Interval Notation

(- \infty, 0) \cup (0, 4]

Solution steps

Find non-negative values for radicals:

x \leq 4

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or 0 < x \leq 4

- lo g_{2} (3 (x - 2)) + 4

f (x) = \frac{8 x ^{2} - 10 x - 3}{2 x ^{2} - 9 x + 9}

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

y = - 2 x - 7

f (x) = (x - 1) (x + 2)

What is the domain of f(x)=(\sqrt[4]{28-7x})/x ?
The domain of f(x)=(\sqrt[4]{28-7x})/x is x<0\lor 0<x<= 4