What is the domain of f(x)=log_{5}(4-x) ?

The domain of f(x)=log_{5}(4-x) is x<4

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domain of f(x)=log_{5}(4-x)

domain

f (x) = lo g_{5} (4 - x)

x < 4

Interval Notation

(- \infty, 4)

Solution steps

Find positive values for logs:

x < 4

The function domain

x < 4

f (x) = - x + \frac{1}{2 + x}

f (x) = \frac{2 x + 3}{x ^{3} - 4 x}

f (x) = \frac{1}{x ^{2} + 2 x - 3}

- 3 x + 1

g (x) = 5 - 2 x

What is the domain of f(x)=log_{5}(4-x) ?
The domain of f(x)=log_{5}(4-x) is x<4