What is the domain of f(x)=10^{x^2}+log_{10}(1-2x) ?

The domain of f(x)=10^{x^2}+log_{10}(1-2x) is x< 1/2

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domain of f(x)=10^{x^2}+log_{10}(1-2x)

domain

f (x) = 1 0^{x^{2}} + lo g_{10} (1 - 2 x)

x < \frac{1}{2}

Interval Notation

(- \infty, \frac{1}{2})

Solution steps

Find positive values for logs:

x < \frac{1}{2}

The function domain

x < \frac{1}{2}

f (x) = - \frac{1}{2} x^{2} - 2 x + 6

e^{x} + 3

f (x) = \frac{2 x}{4 x - 8}

f (x) = lo g_{10} (x + 8)

f (x) = 6 x + 3

What is the domain of f(x)=10^{x^2}+log_{10}(1-2x) ?
The domain of f(x)=10^{x^2}+log_{10}(1-2x) is x< 1/2