What is the domain of f(x)=log_{10}(4-2x) ?

The domain of f(x)=log_{10}(4-2x) is x<2

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domain of f(x)=log_{10}(4-2x)

domain

f (x) = lo g_{10} (4 - 2 x)

x < 2

Solution steps

Find positive values for logs:

x < 2

The function domain

x < 2

f (x) = lo g_{10} (16 x - x^{2})

f (x) = \frac{x - 5}{x + 8}

f (x) = - 2 x^{2} - 6 x + 11

f (x) = 35 - 2 x - x^{2} + \frac{1}{x ^{2} - 4}

f (x) = lo g_{2 x - 1} (7 - 3 x)

What is the domain of f(x)=log_{10}(4-2x) ?
The domain of f(x)=log_{10}(4-2x) is x<2