What is the domain of f(x)=log_{10}(7-4x) ?

The domain of f(x)=log_{10}(7-4x) is x< 7/4

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domain of f(x)=log_{10}(7-4x)

domain

f (x) = lo g_{10} (7 - 4 x)

x < \frac{7}{4}

Interval Notation

(- \infty, \frac{7}{4})

Solution steps

Find positive values for logs:

x < \frac{7}{4}

The function domain

x < \frac{7}{4}

ln (2 x)

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

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

ln (2 x^{2} - 1)

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

What is the domain of f(x)=log_{10}(7-4x) ?
The domain of f(x)=log_{10}(7-4x) is x< 7/4