What is the domain of f(x)=log_{10}(80-0.5x) ?

The domain of f(x)=log_{10}(80-0.5x) is x<160

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domain of f(x)=log_{10}(80-0.5x)

domain

f (x) = lo g_{10} (80 - 0.5 x)

x < 160

Interval Notation

(- \infty, 160)

Solution steps

Find positive values for logs:

x < 160

The function domain

x < 160

f (x) = lo g_{5} (x^{2} + 16)

f (x) = \frac{1}{lo g _{10} ( x + 2 )}

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

f (x) = 3 \cdot (- 7)

f (x) = 2 x^{2} + 4

What is the domain of f(x)=log_{10}(80-0.5x) ?
The domain of f(x)=log_{10}(80-0.5x) is x<160