What is the domain of f(x)=log_{5}(4x+1) ?

The domain of f(x)=log_{5}(4x+1) is x>-1/4

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domain of f(x)=log_{5}(4x+1)

domain

f (x) = lo g_{5} (4 x + 1)

x > - \frac{1}{4}

Interval Notation

(- \frac{1}{4}, \infty)

Solution steps

Find positive values for logs:

x > - \frac{1}{4}

The function domain

x > - \frac{1}{4}

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

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

f (x) = \frac{9 - x ^{2}}{x - 2}

f (x) = 5^{x + 1}

3 x - x^{2} + \frac{28}{x - 10} + 5 x

What is the domain of f(x)=log_{5}(4x+1) ?
The domain of f(x)=log_{5}(4x+1) is x>-1/4