What is the domain of f(x)=log_{10}((4x-5)+6(2-x)) ?

The domain of f(x)=log_{10}((4x-5)+6(2-x)) is x< 7/2

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domain of f(x)=log_{10}((4x-5)+6(2-x))

domain

f (x) = lo g_{10} ((4 x - 5) + 6 (2 - x))

x < \frac{7}{2}

Interval Notation

(- \infty, \frac{7}{2})

Solution steps

Find positive values for logs:

x < \frac{7}{2}

The function domain

x < \frac{7}{2}

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

f (x) = x^{4} - 5 x^{2} - 1

f (x) = [x - [x]]

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

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

What is the domain of f(x)=log_{10}((4x-5)+6(2-x)) ?
The domain of f(x)=log_{10}((4x-5)+6(2-x)) is x< 7/2